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)#.