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Question

Mathematics Question on binomial expansion formula

The number of terms in the expansion of[(a+4b)3(a4b)3]2 [(a + 4b)^3 (a - 4b)^3]^2 are

A

6

B

7

C

8

D

32

Answer

7

Explanation

Solution

[(a+4b)3(a4b)3]2=(a216b2)6[(a + 4b)^3\, (a - 4b)^3]^2 = (a^2 - 16 \,b^2)^6 No. of terms =6+1=7= 6 + 1 = 7