How do you factor 3x^2 - 27(2-x)^2?

1 Answer
Deepak G.
Aug 7, 2016

=-12(x-3)(2x-3)

Explanation:

3x^2-27(2-x)^2
=3x^2-27(4+x^2-4x)
=3x^2-27(4)-27x^2+27(4x)
=3x^2-108-27x^2+108x
=-24x^2+108x-108
=-12(2x^2-9x+9)
=-12(2x^2-6x-3x+9)
=-12(2x(x-3)-3(x-3))
=-12(x-3)(2x-3)

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