Evaluate (10(-1)^2+12(-1)+5)/((5(-1)+3)^2)

$\frac{10 {(- 1)}^{2} + 12 (- 1) + 5}{{(5 (- 1) + 3)}^{2}}$

Step 1

Simplify the numerator.

Raise $- 1$ to the power of $2$ .

$\frac{10 \cdot 1 + 12 (- 1) + 5}{{(5 (- 1) + 3)}^{2}}$

Multiply $10$ by $1$ .

$\frac{10 + 12 (- 1) + 5}{{(5 (- 1) + 3)}^{2}}$

Multiply $12$ by $- 1$ .

$\frac{10 - 12 + 5}{{(5 (- 1) + 3)}^{2}}$

Subtract $12$ from $10$ .

$\frac{- 2 + 5}{{(5 (- 1) + 3)}^{2}}$

Add $- 2$ and $5$ .

$\frac{3}{{(5 (- 1) + 3)}^{2}}$

Step 2

Simplify the denominator.

Multiply $5$ by $- 1$ .

$\frac{3}{{(- 5 + 3)}^{2}}$

Add $- 5$ and $3$ .

$\frac{3}{{(- 2)}^{2}}$

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

$\frac{3}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$