Precalculus Examples

$\frac{x + y}{3} \cdot \frac{6 x + 9 y}{x + y}$

Step 1

Factor $3$ out of $6 x + 9 y$ .

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Step 1.1

Factor $3$ out of $6 x$ .

$\frac{x + y}{3} \cdot \frac{3 (2 x) + 9 y}{x + y}$

Step 1.2

Factor $3$ out of $9 y$ .

$\frac{x + y}{3} \cdot \frac{3 (2 x) + 3 (3 y)}{x + y}$

Step 1.3

Factor $3$ out of $3 (2 x) + 3 (3 y)$ .

$\frac{x + y}{3} \cdot \frac{3 (2 x + 3 y)}{x + y}$

Step 2

Cancel the common factor of $x + y$ .

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Step 2.1

Cancel the common factor.

$\frac{x + y}{3} \cdot \frac{3 (2 x + 3 y)}{x + y}$

Step 2.2

Rewrite the expression.

$\frac{1}{3} \cdot (3 (2 x + 3 y))$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{3} \cdot (3 (2 x + 3 y))$

Step 3.2

Rewrite the expression.

$2 x + 3 y$