Question

Which of the followings shows a factor of 81g^2-64

Answer 1

(9g+8)(9g−8)

Explanation:

the factorization of 81g^2-64 is (9g+8)(9g−8), if one of the options has either of these two pairs that is it

factoring:

81g^2-64

rewrite as (9g)^2-8^2

Apply Difference of Two Squares Formula : x^2-y^2=(x+y)(x-y)

(9g)^2-8^2=(9g+8)(9g-8)

(9g+8)(9g-8)

hope this helps!