Question

Which of the following is the correct factorization of the polynomial below? 64x3+125

Answer 1

(4x+5) (16x^2- 20x +25)

Explanation:

Since both terms are perfect cubes, factor using the sum of cubes formula.

Cubes Formula:

a^3+b^3=(a+b)(a^2−ab+b^2)

where a=4x and b=5.

hence, why the answer is (4x+5) (16x^2- 20x +25)