Question

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

Answer 1

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

Explanation:

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)`