Precalculus Examples

$g (p + 3) = 3 x^{2} + 3 x + 5$

Step 1

Divide each term in $g (p + 3) = 3 x^{2} + 3 x + 5$ by $p + 3$ .

$\frac{g (p + 3)}{p + 3} = \frac{3 x^{2}}{p + 3} + \frac{3 x}{p + 3} + \frac{5}{p + 3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $p + 3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{g (p + 3)}{p + 3} = \frac{3 x^{2}}{p + 3} + \frac{3 x}{p + 3} + \frac{5}{p + 3}$

Step 2.1.2

Divide $g$ by $1$ .

$g = \frac{3 x^{2}}{p + 3} + \frac{3 x}{p + 3} + \frac{5}{p + 3}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$g = \frac{3 x^{2} + 3 x}{p + 3} + \frac{5}{p + 3}$

Step 3.2

Combine the numerators over the common denominator.

$g = \frac{3 x^{2} + 3 x + 5}{p + 3}$