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