Factor
\left(x-2y+3\right)\left(2x+3y-4\right)
Evaluate
\left(x-2y+3\right)\left(2x+3y-4\right)
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2x^{2}+\left(-y+2\right)x-6y^{2}+17y-12
Consider 2x^{2}-xy-6y^{2}+2x+17y-12 as a polynomial over variable x.
\left(2x+3y-4\right)\left(x-2y+3\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{2} and n divides the constant factor -6y^{2}+17y-12. One such factor is 2x+3y-4. Factor the polynomial by dividing it by this factor.
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