Asked by Leyla
How do you factor 54-16x^3? The answer is 2(3-2x)(9+6x+4x^2), but I don't know how to get there.
Answers
Answered by
MathMate
You will need the identity
(A³-B³)=(A-B)(A²+AB+B²)
54-16x^3
=2(27-8x³)
=2(3³-(2x)³)
=2(3-2x)(3²+3*2x+(2x)²)
=2(3-2x)(9+6x+4x²)
(A³-B³)=(A-B)(A²+AB+B²)
54-16x^3
=2(27-8x³)
=2(3³-(2x)³)
=2(3-2x)(3²+3*2x+(2x)²)
=2(3-2x)(9+6x+4x²)
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