How do I factorize 32c^2 - 50d^2 ?

If someone could explain step by step how to factorize this fully that would be great :D

1 Answer
Sep 24, 2017

2(5d+4c)(4c-5d)

Explanation:

First, we factor out the common term of 2.
From 32c^2-50d^2 to 2(16c^2-25d^2).

Then, we will focus on what's in the parentheses/brackets, which is 16c^2-25d^2.

We will use this rule: x^2-y^2=(x+y)(x-y).

Therefore, 16c^2-25d^2=(5d+4c)(4c-5d).

Then, we add in the 2. The answer would then be 2(5d+4c)(4c-5d).