Factor
2b^{2}\left(3a+4b\right)^{2}
Evaluate
2\left(b\left(3a+4b\right)\right)^{2}
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2\left(9a^{2}b^{2}+24ab^{3}+16b^{4}\right)
Factor out 2.
b^{2}\left(9a^{2}+24ab+16b^{2}\right)
Consider 9a^{2}b^{2}+24ab^{3}+16b^{4}. Factor out b^{2}.
\left(3a+4b\right)^{2}
Consider 9a^{2}+24ab+16b^{2}. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=3a and q=4b.
2b^{2}\left(3a+4b\right)^{2}
Rewrite the complete factored expression.
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