Algebra Examples

$\frac{1}{8} (2^{3} - 4) (4^{2} + 8)$

Step 1

Simplify the expression.

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Step 1.1

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

$\frac{1}{8} \cdot ((8 - 4) (4^{2} + 8))$

Step 1.2

Subtract $4$ from $8$ .

$\frac{1}{8} \cdot (4 (4^{2} + 8))$

$\frac{1}{8} \cdot (4 (4^{2} + 8))$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{1}{4 (2)} \cdot (4 (4^{2} + 8))$

Step 2.2

Cancel the common factor.

$\frac{1}{4 \cdot 2} \cdot (4 (4^{2} + 8))$

Step 2.3

Rewrite the expression.

$\frac{1}{2} \cdot (4^{2} + 8)$

$\frac{1}{2} \cdot (4^{2} + 8)$

Step 3

Simplify the expression.

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Step 3.1

Raise $4$ to the power of $2$ .

$\frac{1}{2} \cdot (16 + 8)$

Step 3.2

Add $16$ and $8$ .

$\frac{1}{2} \cdot 24$

$\frac{1}{2} \cdot 24$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $24$ .

$\frac{1}{2} \cdot (2 (12))$

Step 4.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 12)$

Step 4.3

Rewrite the expression.

$12$

$12$

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