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