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9x^{2}+9x-4y^{2}+6y
Consider 9x^{2}-4y^{2}+9x+6y as a polynomial over variable x.
\left(3x+2y\right)\left(3x-2y+3\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 9x^{2} and n divides the constant factor -4y^{2}+6y. One such factor is 3x+2y. Factor the polynomial by dividing it by this factor.