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x^{2}\left(y^{2}-4xy+4x^{2}\right)
Factor out x^{2}.
\left(-2x+y\right)^{2}
Consider y^{2}-4xy+4x^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=-2x and b=y.
x^{2}\left(-2x+y\right)^{2}
Rewrite the complete factored expression.