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DerrickBurkhart DerrickBurkhart
  • 22-07-2014
  • Mathematics
Answered

use the Binomial Theorem to expand (x - 2y)^3

Verified Answer :

konrad509
konrad509 konrad509
  • 22-07-2014

\((x-2y)^3=x^3-6x^2y+12xy^2-8y^3\)

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luana
luana luana
  • 22-07-2014


From Binomial Theorem (x-2y)³:
(\((\frac{3}{0}) x^{3}+( \frac{3}{1} ) x^{2} *(-2y)+( \frac{3}{2})x*( -2y)^{2} +( \frac{3}{3}) x^{0} (-2y)^{3} =\)\(\frac{3!}{0!3!} x^{3}- \frac{3!}{1!2!} x^{2} 2y- \frac{3!}{2!1!}x4 y^{2}- \frac{3!}{3!0!}8 y^{3}\)=x³-6x²y-12xy²-8y³

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