Factor 81b^2-100

$81 b^{2} - 100$

Step 1

Rewrite $81 b^{2}$ as ${(9 b)}^{2}$ .

${(9 b)}^{2} - 100$

Step 2

Rewrite $100$ as $10^{2}$ .

${(9 b)}^{2} - 10^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 9 b$ and $b = 10$ .

$(9 b + 10) (9 b - 10)$

Factor 81b^2-100

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