Factor 9y^2-25z^2

$9 y^{2} - 25 z^{2}$

Step 1

Rewrite $9 y^{2}$ as ${(3 y)}^{2}$ .

${(3 y)}^{2} - 25 z^{2}$

Step 2

Rewrite $25 z^{2}$ as ${(5 z)}^{2}$ .

${(3 y)}^{2} - {(5 z)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 y$ and $b = 5 z$ .

$(3 y + 5 z) (3 y - (5 z))$

Step 4

Multiply $5$ by $- 1$ .

$(3 y + 5 z) (3 y - 5 z)$

Factor 9y^2-25z^2

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