Question

What is the factored form of the expression?

49b^2 – 64

Answer 1

(7b-8) (7b+8)

Explanation:

49b^2 – 64

This is the difference of squares

(a^2 -c^2) = (a-c) (a+c)

a^2 = 49b^2 so a = 7b

c^2 = 64 so c = 8

(49b^2 -64) = (7b-8) (7b+8)