The number of zero terms in the expansion of (1+3 √2 x)9+(1-3 √2 x)9 is

Question

The number of zero terms in the expansion of (1+3 √2 x)9+(1-3 √2 x)9 is (A) 2 (B) 3 (C) 4 (D) 5

Tardigrade Admin · Accepted Answer

Given expression =2[1+ 9 C2(3 √2 x)2+ 9. C4(3 √2 x)4 .+ 9 C6(3 √2 x)6+ 9 C8(3 √2 x)8] ∴ the number of non-zero terms is 5

Q. The number of zero terms in the expansion of $(1 + 32 x)^{9} + (1 - 32 x)^{9}$ is