Question

Find the coefficient of x 6 y 3in the expansion of (x+2y) 9

Answer 1

Hey mate her is ur answer..☺️

Step-by-step explanation:

we know that

general term of expansion (a+b)^n

for (x+2y)^9,

Putting n =9, a=x, b=2y

Tr+1=9Cr(x)9−r(2y)r

Tr+1=9Cr(x)9−r.(y)r.(2)r

Comparing with x6y3, we get,

r=3

Therefore,

Tr+1=9C3(x)9−3.y3.23

=3!.6!9!(2)3×x6×y3

=672x6y3

Hence, coefficient of x6y3 is 672

Hope it helps u

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