Factor b^4-25

$b^{4} - 25$

Step 1

Rewrite $b^{4}$ as ${(b^{2})}^{2}$ .

${(b^{2})}^{2} - 25$

Step 2

Rewrite $25$ as $5^{2}$ .

${(b^{2})}^{2} - 5^{2}$

Step 3

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

$(b^{2} + 5) (b^{2} - 5)$

Factor b^4-25

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