Algebra Examples

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

Step 1

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

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Step 1.1

Simplify the numerator.

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Step 1.1.1

One to any power is one.

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

Step 1.1.2

Add $1$ and $1$ .

$f (x) = \frac{2 - 12}{1^{2} - 4}$

Step 1.1.3

Subtract $12$ from $2$ .

$f (x) = \frac{- 10}{1^{2} - 4}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

One to any power is one.

$f (x) = \frac{- 10}{1 - 4}$

Step 1.2.2

Subtract $4$ from $1$ .

$f (x) = \frac{- 10}{- 3}$

Step 1.3

Dividing two negative values results in a positive value.

$f (x) = \frac{10}{3}$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = \frac{10}{3} - f (x)$

Step 3

Rewrite the equation as $\frac{10}{3} - f (x) = 0$ .

$\frac{10}{3} - f (x) = 0$