Answer
$495a^{8}b^{8}$
Work Step by Step
We find the term with $b^8=(b^2)^4$ in the expansion of $(a+b^2)^{12}$ by using Binomial Theorem coefficients:
$\left(\begin{array}{l}
12\\8\end{array}\right)a^{8}(b^{2})^4=495a^{8}b^{8}$
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