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

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

Step-by-step 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)