Algebra Examples

$\frac{7^{2} - 5^{2}}{- 4} - {(8 - 5)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Raise $7$ to the power of $2$ .

$\frac{49 - 5^{2}}{- 4} - {(8 - 5)}^{2}$

Step 1.1.2

Raise $5$ to the power of $2$ .

$\frac{49 - 1 \cdot 25}{- 4} - {(8 - 5)}^{2}$

Step 1.1.3

Multiply $- 1$ by $25$ .

$\frac{49 - 25}{- 4} - {(8 - 5)}^{2}$

Step 1.1.4

Subtract $25$ from $49$ .

$\frac{24}{- 4} - {(8 - 5)}^{2}$

$\frac{24}{- 4} - {(8 - 5)}^{2}$

Step 1.2

Divide $24$ by $- 4$ .

$- 6 - {(8 - 5)}^{2}$

Step 1.3

Subtract $5$ from $8$ .

$- 6 - 3^{2}$

Step 1.4

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

$- 6 - 1 \cdot 9$

Step 1.5

Multiply $- 1$ by $9$ .

$- 6 - 9$

$- 6 - 9$

Step 2

Subtract $9$ from $- 6$ .

$- 15$

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