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\frac{4x^{4}+6x^{3}-x^{2}byx}{2}
Factor out \frac{1}{2}.
x^{3}\left(4x+6-by\right)
Consider 4x^{4}+6x^{3}-byx^{3}. Factor out x^{3}.
\frac{x^{3}\left(4x+6-by\right)}{2}
Rewrite the complete factored expression.