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Factoring Special Cases (400 - 36x^2)

400 - 36x^2

I already have access to the answer, but I'm not quite sure how to get there. Can someone explain the steps for me?
(The answer should be 4(10-3x)(10+3x)

Respuesta :

factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)
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