Evaluate (7^2-5^2)/-4-(8-5)^2

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

Step 1

Simplify each term.

Simplify the numerator.

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

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

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

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

Multiply $- 1$ by $25$ .

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

Subtract $25$ from $49$ .

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

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

Divide $24$ by $- 4$ .

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

Subtract $5$ from $8$ .

$- 6 - 3^{2}$

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

$- 6 - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$- 6 - 9$

$- 6 - 9$

Step 2

Subtract $9$ from $- 6$ .

$- 15$

Related Questions