The number of terms in the expansion of [(x+4y)3(x−4y)3]2 is
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a
6
b
7
c
8
d
32
answer is B.
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Detailed Solution
Given expansion [(x+4y)3 (x−4y)3]2 [(x+4y)3 (x−4y)3]2(∴(a+b) (a−b)=a2−b2) , ⇒[((x+4y) (x−4y))3]2 ⇒[((x)2−(4y)2)3]2 = (x2−16y2)6 (x+a)n this expansion having n+1 terms(x2−16y2)6 this expansion having 6+1= 7 terms