Factor 25x^4-16y^2

$25 x^{4} - 16 y^{2}$

Step 1

Rewrite $25 x^{4}$ as ${(5 x^{2})}^{2}$ .

${(5 x^{2})}^{2} - 16 y^{2}$

Step 2

Rewrite $16 y^{2}$ as ${(4 y)}^{2}$ .

${(5 x^{2})}^{2} - {(4 y)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 x^{2}$ and $b = 4 y$ .

$(5 x^{2} + 4 y) (5 x^{2} - (4 y))$

Step 4

Multiply $4$ by $- 1$ .

$(5 x^{2} + 4 y) (5 x^{2} - 4 y)$

Factor 25x^4-16y^2

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