Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

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

Step 1.2

Multiply $10$ by $1$ .

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

Step 1.3

Multiply $12$ by $- 1$ .

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

Step 1.4

Subtract $12$ from $10$ .

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

Step 1.5

Add $- 2$ and $5$ .

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

Step 2

Simplify the denominator.

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Step 2.1

Multiply $5$ by $- 1$ .

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

Step 2.2

Add $- 5$ and $3$ .

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

Step 2.3

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:

$0.75$