Question

factorize 125x^3 − 64 for class 10 maths (Quadratic Equations), please give a solution as well.

Answer 1

Answer:

The Sum of Cubes

A binomial in the form a3 + b3 can be factored as (a + b)(a2 – ab + b2). Examples: The factored form of x3 + 64 is (x + 4)(x2 – 4x + 16).

Answer 2

Step-by-step explanation:

125x^3-64

= (5x)^3-(4)^3

= (5x-4)(25x^2+20x+64)  (Because,a^3-b^3=(a-b)(a^2+ab+b^2)

Therefore,125x^3-64=(5x-4)(25x^2+20x+64)