Basic Math Examples

$(\frac{2}{4} x + 521) + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ and $4$ .

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Step 1.1.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{4} x + 521 + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 1}{2 \cdot 2} x + 521 + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 2} x + 521 + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1.1.2.3

Rewrite the expression.

$\frac{1}{2} x + 521 + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1.2

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

$\frac{x}{2} + 521 + 8 (\frac{2}{4} x^{5} + 21) + 8$

Step 1.3

Simplify each term.

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Step 1.3.1

Cancel the common factor of $2$ and $4$ .

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Step 1.3.1.1

Factor $2$ out of $2$ .

$\frac{x}{2} + 521 + 8 (\frac{2 (1)}{4} x^{5} + 21) + 8$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $2$ out of $4$ .

$\frac{x}{2} + 521 + 8 (\frac{2 \cdot 1}{2 \cdot 2} x^{5} + 21) + 8$

Step 1.3.1.2.2

Cancel the common factor.

$\frac{x}{2} + 521 + 8 (\frac{2 \cdot 1}{2 \cdot 2} x^{5} + 21) + 8$

Step 1.3.1.2.3

Rewrite the expression.

$\frac{x}{2} + 521 + 8 (\frac{1}{2} x^{5} + 21) + 8$

Step 1.3.2

Combine $\frac{1}{2}$ and $x^{5}$ .

$\frac{x}{2} + 521 + 8 (\frac{x^{5}}{2} + 21) + 8$

Step 1.4

Apply the distributive property.

$\frac{x}{2} + 521 + 8 \frac{x^{5}}{2} + 8 \cdot 21 + 8$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $8$ .

$\frac{x}{2} + 521 + 2 (4) \frac{x^{5}}{2} + 8 \cdot 21 + 8$

Step 1.5.2

Cancel the common factor.

$\frac{x}{2} + 521 + 2 \cdot 4 \frac{x^{5}}{2} + 8 \cdot 21 + 8$

Step 1.5.3

Rewrite the expression.

$\frac{x}{2} + 521 + 4 x^{5} + 8 \cdot 21 + 8$

Step 1.6

Multiply $8$ by $21$ .

$\frac{x}{2} + 521 + 4 x^{5} + 168 + 8$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $521$ and $168$ .

$\frac{x}{2} + 4 x^{5} + 689 + 8$

Step 2.2

Add $689$ and $8$ .

$\frac{x}{2} + 4 x^{5} + 697$