Question:
If $a$ and $b$ denote the sum of the coefficients in the expansions of $\left(1-3 x+10 x^{2}\right)^{n}$ and $\left(1+x^{2}\right)^{n}$ respectively, then write the relation between $a$ and $b$.
Solution:
Here,
$a=1-3+10=8=2^{3}$
$b=1+1=2$
$\Rightarrow a=b^{3}$
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