How do you factor 49x^2-36?

2 Answers
Mar 29, 2018

(7x+6)(7x-6)

Explanation:

49x^2−36 =
7^2x^2−6^2 =
(7x)^2-6^2=
(7x+6)(7x-6)
because a^2-b^2=(a+b)(a-b)

Mar 29, 2018

(7x+6)(7x-6)

Explanation:

Note that 49=7^2 and 36=6^2

So we have 7^2x^2 - 6^2 = (7x)^2-6^2.

This is in the form a^2-b^2 which can be factored to (a+b)(a-b)

So here we have a = 7x and b = 6, so that would be (7x+6)(7x-6)