Algebra Examples

$\frac{5 x + y}{3 x + 2} \cdot \frac{5 x - y}{3 x z - 2 z}$

Step 1

Factor $z$ out of $3 x z - 2 z$ .

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Step 1.1

Factor $z$ out of $3 x z$ .

$\frac{5 x + y}{3 x + 2} \cdot \frac{5 x - y}{z (3 x) - 2 z}$

Step 1.2

Factor $z$ out of $- 2 z$ .

$\frac{5 x + y}{3 x + 2} \cdot \frac{5 x - y}{z (3 x) + z \cdot - 2}$

Step 1.3

Factor $z$ out of $z (3 x) + z \cdot - 2$ .

$\frac{5 x + y}{3 x + 2} \cdot \frac{5 x - y}{z (3 x - 2)}$

Step 2

Multiply $\frac{5 x + y}{3 x + 2}$ by $\frac{5 x - y}{z (3 x - 2)}$ .

$\frac{(5 x + y) (5 x - y)}{(3 x + 2) (z (3 x - 2))}$

Step 3

Reorder factors in $\frac{(5 x + y) (5 x - y)}{(3 x + 2) z (3 x - 2)}$ .

$\frac{(5 x + y) (5 x - y)}{z (3 x + 2) (3 x - 2)}$