Algebra Examples

$\frac{x + 9}{x + 3} - \frac{- 4 x - 6}{x + 3}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 9 - (- 4 x - 6)}{x + 3}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{x + 9 - (- 4 x) - - 6}{x + 3}$

Step 2.2

Multiply $- 4$ by $- 1$ .

$\frac{x + 9 + 4 x - - 6}{x + 3}$

Step 2.3

Multiply $- 1$ by $- 6$ .

$\frac{x + 9 + 4 x + 6}{x + 3}$

$\frac{x + 9 + 4 x + 6}{x + 3}$

Step 3

Simplify terms.

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Step 3.1

Add $x$ and $4 x$ .

$\frac{5 x + 9 + 6}{x + 3}$

Step 3.2

Add $9$ and $6$ .

$\frac{5 x + 15}{x + 3}$

Step 3.3

Factor $5$ out of $5 x + 15$ .

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Step 3.3.1

Factor $5$ out of $5 x$ .

$\frac{5 (x) + 15}{x + 3}$

Step 3.3.2

Factor $5$ out of $15$ .

$\frac{5 x + 5 \cdot 3}{x + 3}$

Step 3.3.3

Factor $5$ out of $5 x + 5 \cdot 3$ .

$\frac{5 (x + 3)}{x + 3}$

$\frac{5 (x + 3)}{x + 3}$

Step 3.4

Cancel the common factor of $x + 3$ .

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Step 3.4.1

Cancel the common factor.

$\frac{5 (x + 3)}{x + 3}$

Step 3.4.2

Divide $5$ by $1$ .

$5$

$5$

$5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$