Binomial Theorem And Its Simple Applications Question 15

Question: The number of term in the expansion of $ {{[{{(x+4y)}^{3}}{{(x-4y)}^{3}}]}^{2}} $ is

Options:

A) 6

B) 7

C) 8

D) 32

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] $ {{[{{(x+4y)}^{3}}{{(x-4y)}^{3}}]}^{2}}={{[{x^{2}-{{(4y)}^{2}}}]}^{6}} $

$ ={{(x^{2}-16y^{2})}^{6}} $

$ \therefore $ No. of terms in the expansion = 7