Factor
2b^{2}\left(4a+1\right)^{2}
Evaluate
2\left(4ab+b\right)^{2}
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2\left(16a^{2}b^{2}+8ab^{2}+b^{2}\right)
Factor out 2.
b^{2}\left(16a^{2}+8a+1\right)
Consider 16a^{2}b^{2}+8ab^{2}+b^{2}. Factor out b^{2}.
\left(4a+1\right)^{2}
Consider 16a^{2}+8a+1. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=4a and q=1.
2b^{2}\left(4a+1\right)^{2}
Rewrite the complete factored expression.
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