Number of terms in the expansion of (1+5 √2 x)9+(1-5 √2 x)9 is

Question

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

Tardigrade Admin · Accepted Answer

If n is odd, then the expansion of (x+a)n+(x-a)n contains (( n +1/2)) terms. So, the expansion of (1+5 √2 x )9+(1-5 √2 x )9 operatornamehas((9+1/2))=5 terms

Q. Number of terms in the expansion of $(1 + 52 x)^{9} + (1 - 52 x)^{9}$ is

2

3

4

5

If $n$ is odd, then the expansion of $(x + a)^{n} + (x - a)^{n}$
contains $(\frac{n + 1}{2})$ terms. So, the expansion
of $(1 + 52 x)^{9} + (1 - 52 x)^{9} has (\frac{9 + 1}{2}) = 5$ terms

Q. Number of terms in the expansion of (1+52​x)9+(1−52​x)9 is

2

3

4

5

If n is odd, then the expansion of (x+a)n+(x−a)n contains (2n+1​) terms. So, the expansion of (1+52​x)9+(1−52​x)9has(29+1​)=5 terms

Q. Number of terms in the expansion of $(1 + 52 x)^{9} + (1 - 52 x)^{9}$ is

If $n$ is odd, then the expansion of $(x + a)^{n} + (x - a)^{n}$
contains $(\frac{n + 1}{2})$ terms. So, the expansion
of $(1 + 52 x)^{9} + (1 - 52 x)^{9} has (\frac{9 + 1}{2}) = 5$ terms