Factor
\left(2y-x\right)\left(x+y\right)
Evaluate
\left(2y-x\right)\left(x+y\right)
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2y^{2}+xy-x^{2}
Consider 2y^{2}+yx-x^{2} as a polynomial over variable y.
\left(-x+2y\right)\left(x+y\right)
Find one factor of the form ky^{m}+n, where ky^{m} divides the monomial with the highest power 2y^{2} and n divides the constant factor -x^{2}. One such factor is -x+2y. Factor the polynomial by dividing it by this factor.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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Limits
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