How do you factor $36g^2-49h^2$ ?

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Answer 1 · 2016-06-11T00:08:13

$36g^2-49h^2= (6g+7h)(6g-7h)$

The difference of squares formula states that

$a^2 - b^2 = (a+b)(a-b)$

(Try expanding the right hand side to verify this)

Using that, we have

$36g^2-49h^2$

$= (6g)^2-(7h)^2$

$= (6g+7h)(6g-7h)$

How do you factor 36g^2-49h^236g^2-49h^2?