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\frac{4x^{7}+y^{2}xy^{2}}{2}
Factor out \frac{1}{2}.
x\left(4x^{6}+y^{4}\right)
Consider 4x^{7}+xy^{4}. Factor out x.
\frac{x\left(4x^{6}+y^{4}\right)}{2}
Rewrite the complete factored expression.