Algebra Examples

$\frac{{(1)}^{2} + (1) - 12}{{(1)}^{2} - 4}$

Step 1

Simplify the numerator.

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Step 1.1

One to any power is one.

$\frac{1 + 1 - 12}{1^{2} - 4}$

Step 1.2

Add $1$ and $1$ .

$\frac{2 - 12}{1^{2} - 4}$

Step 1.3

Subtract $12$ from $2$ .

$\frac{- 10}{1^{2} - 4}$

Step 2

Simplify the denominator.

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Step 2.1

One to any power is one.

$\frac{- 10}{1 - 4}$

Step 2.2

Subtract $4$ from $1$ .

$\frac{- 10}{- 3}$

Step 3

Dividing two negative values results in a positive value.

$\frac{10}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$