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

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

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Answer 1 · 2016-08-07T20:09:07

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

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