Basic Math Examples

$343 b^{2} - 7 b^{4}$

Step 1

Factor $7 b^{2}$ out of $343 b^{2} - 7 b^{4}$ .

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Step 1.1

Factor $7 b^{2}$ out of $343 b^{2}$ .

$7 b^{2} (49) - 7 b^{4}$

Step 1.2

Factor $7 b^{2}$ out of $- 7 b^{4}$ .

$7 b^{2} (49) + 7 b^{2} (- b^{2})$

Step 1.3

Factor $7 b^{2}$ out of $7 b^{2} (49) + 7 b^{2} (- b^{2})$ .

$7 b^{2} (49 - b^{2})$

Step 2

Rewrite $49$ as $7^{2}$ .

$7 b^{2} (7^{2} - b^{2})$

Step 3

Factor.

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Step 3.1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7$ and $b = b$ .

$7 b^{2} ((7 + b) (7 - b))$

Step 3.2

Remove unnecessary parentheses.

$7 b^{2} (7 + b) (7 - b)$