Factor
\left(x+y\right)\left(x-y+5z\right)
Evaluate
\left(x+y\right)\left(x-y+5z\right)
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x^{2}+5zx-y^{2}+5yz
Consider x^{2}+5xz-y^{2}+5yz as a polynomial over variable x.
\left(x+y\right)\left(x-y+5z\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor -y^{2}+5yz. One such factor is x+y. Factor the polynomial by dividing it by this factor.
Examples
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