Basic Math Examples

$\frac{4 + 3 (2 - 5)}{- 2^{2} - {(- 5 + 2)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $5$ from $2$ .

$\frac{4 + 3 \cdot - 3}{- 2^{2} - {(- 5 + 2)}^{2}}$

Step 1.2

Multiply $3$ by $- 3$ .

$\frac{4 - 9}{- 2^{2} - {(- 5 + 2)}^{2}}$

Step 1.3

Subtract $9$ from $4$ .

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

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{- 5}{- 1 \cdot 4 - {(- 5 + 2)}^{2}}$

Step 2.2

Multiply $- 1$ by $4$ .

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

Step 2.3

Add $- 5$ and $2$ .

$\frac{- 5}{- 4 - {(- 3)}^{2}}$

Step 2.4

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

$\frac{- 5}{- 4 - 1 \cdot 9}$

Step 2.5

Multiply $- 1$ by $9$ .

$\frac{- 5}{- 4 - 9}$

Step 2.6

Subtract $9$ from $- 4$ .

$\frac{- 5}{- 13}$

Step 3

Dividing two negative values results in a positive value.

$\frac{5}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{13}$

Decimal Form:

$0.\overline{384615}$