Algebra Examples

$8 (60 \div (4^{2} - 2^{2}) - 2)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$8 (\frac{60}{4^{2} - 2^{2}} - 2)$

Step 1.2

Simplify the denominator.

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Step 1.2.1

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

$8 (\frac{60}{16 - 2^{2}} - 2)$

Step 1.2.2

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

$8 (\frac{60}{16 - 1 \cdot 4} - 2)$

Step 1.2.3

Multiply $- 1$ by $4$ .

$8 (\frac{60}{16 - 4} - 2)$

Step 1.2.4

Subtract $4$ from $16$ .

$8 (\frac{60}{12} - 2)$

$8 (\frac{60}{12} - 2)$

Step 1.3

Divide $60$ by $12$ .

$8 (5 - 2)$

$8 (5 - 2)$

Step 2

Simplify the expression.

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Step 2.1

Subtract $2$ from $5$ .

$8 \cdot 3$

Step 2.2

Multiply $8$ by $3$ .

$24$

$24$

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