If a and b denote the sum of the coefficients in the expansions of ${(1 - 3 x + 10 x^{2})}^{n}$ and ${(1 + x^{2})}^{n}$ respectively, then write the relation between a and b.

Open in App

Solution

$Here, a = 1 - 3 + 10 = 8 = 2^{3} b = 1 + 1 = 2 \Rightarrow a = b^{3}$

Suggest Corrections

Similar questions

If a and b denote the sum of the coefficients of $x^{n}$ in the expansions of $(1 - 3 x + 10 x^{2})^{n}$ and $(1 + x^{2})^{n}$ respectively, then write the relation between a and b.

Q. If a and b are coefficients of xⁿ in the expansions of

{(1 + x)}^{2 n} and {(1 + x)}^{2 n - 1}

respectively, then write the relation between a and b.

Q. If the sum of the coefficients in the expansion

(1 - 3 x + 10 x^{2})^{n}

a

and sum of coefficients in the expansion of

(1 + x^{2})^{n}

is b,then

Q. If the sum of the coefficients in the expansion of

(1 - 3 x + 10 x^{2})^{n}

is a and if the sum of the coefficients in the expansion

(1 + x^{2})^{n}

is b, then,

Q. If the sum of the coefficients in the expansion of

(1 - 3 x + 10 x^{2})^{n}

a

and if the sum of the coefficients in the expansion of

(1 + x^{2})^{n}

b

, then

Join BYJU'S Learning Program

If a and b denote the sum of the coefficients in the expansions of 1-3x+10x2n and 1+x2n respectively, then write the relation between a and b.

Here,a=1-3+10=8=23b=1+1=2⇒a=b3

If a and b denote the sum of the coefficients in the expansions of ${(1 - 3 x + 10 x^{2})}^{n}$ and ${(1 + x^{2})}^{n}$ respectively, then write the relation between a and b.

$Here, a = 1 - 3 + 10 = 8 = 2^{3} b = 1 + 1 = 2 \Rightarrow a = b^{3}$