Factor
\left(2x-y\right)\left(2x+y-3\right)
Evaluate
\left(2x-y\right)\left(2x+y-3\right)
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4x^{2}-6x-y^{2}+3y
Consider 4x^{2}-6x-y^{2}+3y as a polynomial over variable x.
\left(2x-y\right)\left(2x+y-3\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 4x^{2} and n divides the constant factor -y^{2}+3y. One such factor is 2x-y. Factor the polynomial by dividing it by this factor.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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]
Simultaneous equation
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Limits
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