Calculus Examples

$\int_{0}^{3} (7 x + 7) (x^{2} + 2 x + 2) d x$

Step 1

Simplify.

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Step 1.1

Apply the distributive property.

$\int_{0}^{3} 7 x (x^{2} + 2 x + 2) + 7 (x^{2} + 2 x + 2) d x$

Step 1.2

Apply the distributive property.

$\int_{0}^{3} 7 x (x^{2} + 2 x) + 7 x \cdot 2 + 7 (x^{2} + 2 x + 2) d x$

Step 1.3

Apply the distributive property.

$\int_{0}^{3} 7 x \cdot x^{2} + 7 x (2 x) + 7 x \cdot 2 + 7 (x^{2} + 2 x + 2) d x$

Step 1.4

Apply the distributive property.

$\int_{0}^{3} 7 x \cdot x^{2} + 7 x (2 x) + 7 x \cdot 2 + 7 (x^{2} + 2 x) + 7 \cdot 2 d x$

Step 1.5

Apply the distributive property.

$\int_{0}^{3} 7 x \cdot x^{2} + 7 x (2 x) + 7 x \cdot 2 + 7 x^{2} + 7 (2 x) + 7 \cdot 2 d x$

Step 1.6

Move $x$ .

$\int_{0}^{3} 7 x \cdot x^{2} + 7 \cdot 2 x \cdot x + 7 x \cdot 2 + 7 x^{2} + 7 (2 x) + 7 \cdot 2 d x$

Step 1.7

Move $x$ .

$\int_{0}^{3} 7 x \cdot x^{2} + 7 \cdot 2 x \cdot x + 7 \cdot 2 x + 7 x^{2} + 7 (2 x) + 7 \cdot 2 d x$

Step 1.8

Raise $x$ to the power of $1$ .

$\int_{0}^{3} 7 (x^{1} x^{2}) + 7 \cdot 2 x \cdot x + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.9

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\int_{0}^{3} 7 x^{1 + 2} + 7 \cdot 2 x \cdot x + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.10

Add $1$ and $2$ .

$\int_{0}^{3} 7 x^{3} + 7 \cdot 2 x \cdot x + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.11

Multiply $7$ by $2$ .

$\int_{0}^{3} 7 x^{3} + 14 x \cdot x + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.12

Raise $x$ to the power of $1$ .

$\int_{0}^{3} 7 x^{3} + 14 (x^{1} x) + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.13

Raise $x$ to the power of $1$ .

$\int_{0}^{3} 7 x^{3} + 14 (x^{1} x^{1}) + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.14

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\int_{0}^{3} 7 x^{3} + 14 x^{1 + 1} + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.15

Add $1$ and $1$ .

$\int_{0}^{3} 7 x^{3} + 14 x^{2} + 7 \cdot 2 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.16

Multiply $7$ by $2$ .

$\int_{0}^{3} 7 x^{3} + 14 x^{2} + 14 x + 7 x^{2} + 7 \cdot 2 x + 7 \cdot 2 d x$

Step 1.17

Multiply $7$ by $2$ .

$\int_{0}^{3} 7 x^{3} + 14 x^{2} + 14 x + 7 x^{2} + 14 x + 7 \cdot 2 d x$

Step 1.18

Multiply $7$ by $2$ .

$\int_{0}^{3} 7 x^{3} + 14 x^{2} + 14 x + 7 x^{2} + 14 x + 14 d x$

Step 1.19

Move $14 x$ .

$\int_{0}^{3} 7 x^{3} + 14 x^{2} + 7 x^{2} + 14 x + 14 x + 14 d x$

Step 1.20

Add $14 x^{2}$ and $7 x^{2}$ .

$\int_{0}^{3} 7 x^{3} + 21 x^{2} + 14 x + 14 x + 14 d x$

Step 1.21

Add $14 x$ and $14 x$ .

$\int_{0}^{3} 7 x^{3} + 21 x^{2} + 28 x + 14 d x$

Step 2

Split the single integral into multiple integrals.

$\int_{0}^{3} 7 x^{3} d x + \int_{0}^{3} 21 x^{2} d x + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 3

Since $7$ is constant with respect to $x$ , move $7$ out of the integral.

$7 \int_{0}^{3} x^{3} d x + \int_{0}^{3} 21 x^{2} d x + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 4

By the Power Rule, the integral of $x^{3}$ with respect to $x$ is $\frac{1}{4} x^{4}$ .

$7 (\frac{1}{4} x^{4}]_{0}^{3}) + \int_{0}^{3} 21 x^{2} d x + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 5

Combine $\frac{1}{4}$ and $x^{4}$ .

$7 (\frac{x^{4}}{4}]_{0}^{3}) + \int_{0}^{3} 21 x^{2} d x + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 6

Since $21$ is constant with respect to $x$ , move $21$ out of the integral.

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 \int_{0}^{3} x^{2} d x + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 7

By the Power Rule, the integral of $x^{2}$ with respect to $x$ is $\frac{1}{3} x^{3}$ .

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{1}{3} x^{3}]_{0}^{3}) + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 8

Combine $\frac{1}{3}$ and $x^{3}$ .

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + \int_{0}^{3} 28 x d x + \int_{0}^{3} 14 d x$

Step 9

Since $28$ is constant with respect to $x$ , move $28$ out of the integral.

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + 28 \int_{0}^{3} x d x + \int_{0}^{3} 14 d x$

Step 10

By the Power Rule, the integral of $x$ with respect to $x$ is $\frac{1}{2} x^{2}$ .

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + 28 (\frac{1}{2} x^{2}]_{0}^{3}) + \int_{0}^{3} 14 d x$

Step 11

Combine $\frac{1}{2}$ and $x^{2}$ .

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + 28 (\frac{x^{2}}{2}]_{0}^{3}) + \int_{0}^{3} 14 d x$

Step 12

Apply the constant rule.

$7 (\frac{x^{4}}{4}]_{0}^{3}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + 28 (\frac{x^{2}}{2}]_{0}^{3}) + 14 x]_{0}^{3}$

Step 13

Substitute and simplify.

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Step 13.1

Evaluate $\frac{x^{4}}{4}$ at $3$ and at $0$ .

$7 ((\frac{3^{4}}{4}) - \frac{0^{4}}{4}) + 21 (\frac{x^{3}}{3}]_{0}^{3}) + 28 (\frac{x^{2}}{2}]_{0}^{3}) + 14 x]_{0}^{3}$

Step 13.2

Evaluate $\frac{x^{3}}{3}$ at $3$ and at $0$ .

$7 (\frac{3^{4}}{4} - \frac{0^{4}}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{x^{2}}{2}]_{0}^{3}) + 14 x]_{0}^{3}$

Step 13.3

Evaluate $\frac{x^{2}}{2}$ at $3$ and at $0$ .

$7 (\frac{3^{4}}{4} - \frac{0^{4}}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 ((\frac{3^{2}}{2}) - \frac{0^{2}}{2}) + 14 x]_{0}^{3}$

Step 13.4

Evaluate $14 x$ at $3$ and at $0$ .

$7 (\frac{3^{4}}{4} - \frac{0^{4}}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5

Simplify.

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Step 13.5.1

Raise $3$ to the power of $4$ .

$7 (\frac{81}{4} - \frac{0^{4}}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.2

Raising $0$ to any positive power yields $0$ .

$7 (\frac{81}{4} - \frac{0}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.3

Cancel the common factor of $0$ and $4$ .

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Step 13.5.3.1

Factor $4$ out of $0$ .

$7 (\frac{81}{4} - \frac{4 (0)}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.3.2

Cancel the common factors.

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Step 13.5.3.2.1

Factor $4$ out of $4$ .

$7 (\frac{81}{4} - \frac{4 \cdot 0}{4 \cdot 1}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.3.2.2

Cancel the common factor.

$7 (\frac{81}{4} - \frac{4 \cdot 0}{4 \cdot 1}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.3.2.3

Rewrite the expression.

$7 (\frac{81}{4} - \frac{0}{1}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.3.2.4

Divide $0$ by $1$ .

$7 (\frac{81}{4} - 0) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.4

Multiply $- 1$ by $0$ .

$7 (\frac{81}{4} + 0) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.5

Add $\frac{81}{4}$ and $0$ .

$7 (\frac{81}{4}) + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.6

Combine $7$ and $\frac{81}{4}$ .

$\frac{7 \cdot 81}{4} + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.7

Multiply $7$ by $81$ .

$\frac{567}{4} + 21 (\frac{3^{3}}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.8

Raise $3$ to the power of $3$ .

$\frac{567}{4} + 21 (\frac{27}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.9

Cancel the common factor of $27$ and $3$ .

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Step 13.5.9.1

Factor $3$ out of $27$ .

$\frac{567}{4} + 21 (\frac{3 \cdot 9}{3} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.9.2

Cancel the common factors.

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Step 13.5.9.2.1

Factor $3$ out of $3$ .

$\frac{567}{4} + 21 (\frac{3 \cdot 9}{3 (1)} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.9.2.2

Cancel the common factor.

$\frac{567}{4} + 21 (\frac{3 \cdot 9}{3 \cdot 1} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.9.2.3

Rewrite the expression.

$\frac{567}{4} + 21 (\frac{9}{1} - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.9.2.4

Divide $9$ by $1$ .

$\frac{567}{4} + 21 (9 - \frac{0^{3}}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.10

Raising $0$ to any positive power yields $0$ .

$\frac{567}{4} + 21 (9 - \frac{0}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.11

Cancel the common factor of $0$ and $3$ .

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Step 13.5.11.1

Factor $3$ out of $0$ .

$\frac{567}{4} + 21 (9 - \frac{3 (0)}{3}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.11.2

Cancel the common factors.

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Step 13.5.11.2.1

Factor $3$ out of $3$ .

$\frac{567}{4} + 21 (9 - \frac{3 \cdot 0}{3 \cdot 1}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.11.2.2

Cancel the common factor.

$\frac{567}{4} + 21 (9 - \frac{3 \cdot 0}{3 \cdot 1}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.11.2.3

Rewrite the expression.

$\frac{567}{4} + 21 (9 - \frac{0}{1}) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.11.2.4

Divide $0$ by $1$ .

$\frac{567}{4} + 21 (9 - 0) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.12

Multiply $- 1$ by $0$ .

$\frac{567}{4} + 21 (9 + 0) + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.13

Add $9$ and $0$ .

$\frac{567}{4} + 21 \cdot 9 + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.14

Multiply $21$ by $9$ .

$\frac{567}{4} + 189 + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.15

To write $189$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{567}{4} + 189 \cdot \frac{4}{4} + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.16

Combine $189$ and $\frac{4}{4}$ .

$\frac{567}{4} + \frac{189 \cdot 4}{4} + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.17

Combine the numerators over the common denominator.

$\frac{567 + 189 \cdot 4}{4} + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.18

Simplify the numerator.

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Step 13.5.18.1

Multiply $189$ by $4$ .

$\frac{567 + 756}{4} + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.18.2

Add $567$ and $756$ .

$\frac{1323}{4} + 28 (\frac{3^{2}}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.19

Raise $3$ to the power of $2$ .

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{0^{2}}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.20

Raising $0$ to any positive power yields $0$ .

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{0}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.21

Cancel the common factor of $0$ and $2$ .

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Step 13.5.21.1

Factor $2$ out of $0$ .

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{2 (0)}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.21.2

Cancel the common factors.

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Step 13.5.21.2.1

Factor $2$ out of $2$ .

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{2 \cdot 0}{2 \cdot 1}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.21.2.2

Cancel the common factor.

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{2 \cdot 0}{2 \cdot 1}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.21.2.3

Rewrite the expression.

$\frac{1323}{4} + 28 (\frac{9}{2} - \frac{0}{1}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.21.2.4

Divide $0$ by $1$ .

$\frac{1323}{4} + 28 (\frac{9}{2} - 0) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.22

Multiply $- 1$ by $0$ .

$\frac{1323}{4} + 28 (\frac{9}{2} + 0) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.23

Add $\frac{9}{2}$ and $0$ .

$\frac{1323}{4} + 28 (\frac{9}{2}) + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.24

Combine $28$ and $\frac{9}{2}$ .

$\frac{1323}{4} + \frac{28 \cdot 9}{2} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.25

Multiply $28$ by $9$ .

$\frac{1323}{4} + \frac{252}{2} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.26

Cancel the common factor of $252$ and $2$ .

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Step 13.5.26.1

Factor $2$ out of $252$ .

$\frac{1323}{4} + \frac{2 \cdot 126}{2} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.26.2

Cancel the common factors.

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Step 13.5.26.2.1

Factor $2$ out of $2$ .

$\frac{1323}{4} + \frac{2 \cdot 126}{2 (1)} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.26.2.2

Cancel the common factor.

$\frac{1323}{4} + \frac{2 \cdot 126}{2 \cdot 1} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.26.2.3

Rewrite the expression.

$\frac{1323}{4} + \frac{126}{1} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.26.2.4

Divide $126$ by $1$ .

$\frac{1323}{4} + 126 + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.27

To write $126$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1323}{4} + 126 \cdot \frac{4}{4} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.28

Combine $126$ and $\frac{4}{4}$ .

$\frac{1323}{4} + \frac{126 \cdot 4}{4} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.29

Combine the numerators over the common denominator.

$\frac{1323 + 126 \cdot 4}{4} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.30

Simplify the numerator.

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Step 13.5.30.1

Multiply $126$ by $4$ .

$\frac{1323 + 504}{4} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.30.2

Add $1323$ and $504$ .

$\frac{1827}{4} + 14 \cdot 3 - 14 \cdot 0$

Step 13.5.31

Multiply $14$ by $3$ .

$\frac{1827}{4} + 42 - 14 \cdot 0$

Step 13.5.32

Multiply $- 14$ by $0$ .

$\frac{1827}{4} + 42 + 0$

Step 13.5.33

Add $42$ and $0$ .

$\frac{1827}{4} + 42$

Step 13.5.34

To write $42$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1827}{4} + 42 \cdot \frac{4}{4}$

Step 13.5.35

Combine $42$ and $\frac{4}{4}$ .

$\frac{1827}{4} + \frac{42 \cdot 4}{4}$

Step 13.5.36

Combine the numerators over the common denominator.

$\frac{1827 + 42 \cdot 4}{4}$

Step 13.5.37

Simplify the numerator.

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Step 13.5.37.1

Multiply $42$ by $4$ .

$\frac{1827 + 168}{4}$

Step 13.5.37.2

Add $1827$ and $168$ .

$\frac{1995}{4}$

Step 14

The result can be shown in multiple forms.

Exact Form:

$\frac{1995}{4}$

Decimal Form:

$498.75$

Mixed Number Form:

$498 \frac{3}{4}$

Step 15