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2\left(25b^{2}+20bd+4d^{2}\right)
Factor out 2.
\left(5b+2d\right)^{2}
Consider 25b^{2}+20bd+4d^{2}. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=5b and q=2d.
2\left(5b+2d\right)^{2}
Rewrite the complete factored expression.