Factor 16x^4-25y^2

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

Step 1

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

${(4 x^{2})}^{2} - 25 y^{2}$

Step 2

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

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

Step 3

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

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

Step 4

Multiply $5$ by $- 1$ .

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

Factor 16x^4-25y^2

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