Basic Math Examples

$8 (p + 5) - 19 + (3 (p - 3) + 1)$

Step 1

Remove parentheses.

$8 (p + 5) - 19 + 3 (p - 3) + 1$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$8 p + 8 \cdot 5 - 19 + 3 (p - 3) + 1$

Step 2.2

Multiply $8$ by $5$ .

$8 p + 40 - 19 + 3 (p - 3) + 1$

Step 2.3

Apply the distributive property.

$8 p + 40 - 19 + 3 p + 3 \cdot - 3 + 1$

Step 2.4

Multiply $3$ by $- 3$ .

$8 p + 40 - 19 + 3 p - 9 + 1$

$8 p + 40 - 19 + 3 p - 9 + 1$

Step 3

Simplify by adding terms.

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Step 3.1

Add $8 p$ and $3 p$ .

$11 p + 40 - 19 - 9 + 1$

Step 3.2

Simplify by adding and subtracting.

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Step 3.2.1

Subtract $19$ from $40$ .

$11 p + 21 - 9 + 1$

Step 3.2.2

Subtract $9$ from $21$ .

$11 p + 12 + 1$

Step 3.2.3

Add $12$ and $1$ .

$11 p + 13$

$11 p + 13$

$11 p + 13$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$