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10\left(a^{2}-2ab^{2}+b^{4}\right)
Factor out 10.
\left(a-b^{2}\right)^{2}
Consider a^{2}-2ab^{2}+b^{4}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=a and q=b^{2}.
10\left(a-b^{2}\right)^{2}
Rewrite the complete factored expression.