Trigonometry Examples

$g (- 6) = {(- 6)}^{2} - 3$

Step 1

Divide each term in $g (- 6) = {(- 6)}^{2} - 3$ by $- 6$ .

$\frac{g \cdot - 6}{- 6} = \frac{{(- 6)}^{2}}{- 6} + \frac{- 3}{- 6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{g \cdot - 6}{- 6} = \frac{{(- 6)}^{2}}{- 6} + \frac{- 3}{- 6}$

Step 2.1.2

Divide $g$ by $1$ .

$g = \frac{{(- 6)}^{2}}{- 6} + \frac{- 3}{- 6}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$g = \frac{{(- 6)}^{2} - 3}{- 6}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Raise $- 6$ to the power of $2$ .

$g = \frac{36 - 3}{- 6}$

Step 3.2.2

Subtract $3$ from $36$ .

$g = \frac{33}{- 6}$

Step 3.3

Cancel the common factor of $33$ and $- 6$ .

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Step 3.3.1

Factor $3$ out of $33$ .

$g = \frac{3 (11)}{- 6}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $3$ out of $- 6$ .

$g = \frac{3 \cdot 11}{3 \cdot - 2}$

Step 3.3.2.2

Cancel the common factor.

$g = \frac{3 \cdot 11}{3 \cdot - 2}$

Step 3.3.2.3

Rewrite the expression.

$g = \frac{11}{- 2}$

Step 3.4

Move the negative in front of the fraction.

$g = - \frac{11}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$g = - \frac{11}{2}$

Decimal Form:

$g = - 5.5$

Mixed Number Form:

$g = - 5 \frac{1}{2}$