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

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

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Answer 1 · 2017-09-24T13:12:28

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

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)#.