Algebra Examples

$\frac{6 x}{x + 9} + \frac{54}{x + 9}$

Step 1

Combine the numerators over the common denominator.

$\frac{6 x + 54}{x + 9}$

Step 2

Factor $6$ out of $6 x + 54$ .

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Step 2.1

Factor $6$ out of $6 x$ .

$\frac{6 (x) + 54}{x + 9}$

Step 2.2

Factor $6$ out of $54$ .

$\frac{6 x + 6 \cdot 9}{x + 9}$

Step 2.3

Factor $6$ out of $6 x + 6 \cdot 9$ .

$\frac{6 (x + 9)}{x + 9}$

Step 3

Cancel the common factor of $x + 9$ .

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Step 3.1

Cancel the common factor.

$\frac{6 (x + 9)}{x + 9}$

Step 3.2

Divide $6$ by $1$ .

$6$