( 3 x 2 y ) 8 \left(3x^2-y\right)^{8}

What is the coefficient of the term x 4 y 6 x^4 y^{6} in the expansion of ( 3 x 2 y ) 8 ? \left(3x^2-y\right)^{8}?

232 232 222 222 252 252 242 242

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3 solutions

Tunk-Fey Ariawan
Mar 17, 2014

Using Binomial theorem , the coefficient of the term x 4 y 6 x^4y^6 is 3 2 ( 8 2 ) = 252 3^2\binom{8}{2}=\boxed{252}

I did this using the principle of Pascal's Triangle .

Mac Sidhu
Mar 27, 2014

USING BINOMIAL EXPA

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