Factor
5x\left(xy+1\right)^{2}
Evaluate
5x\left(xy+1\right)^{2}
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5\left(x^{3}y^{2}+2x^{2}y+x\right)
Factor out 5.
x\left(x^{2}y^{2}+2xy+1\right)
Consider x^{3}y^{2}+2x^{2}y+x. Factor out x.
\left(xy+1\right)^{2}
Consider x^{2}y^{2}+2xy+1. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=xy and b=1.
5x\left(xy+1\right)^{2}
Rewrite the complete factored expression.
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