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2\left(4x^{2}-9xy-9y^{2}\right)
Factor out 2.
4x^{2}-9yx-9y^{2}
Consider 4x^{2}-9xy-9y^{2}. Consider 4x^{2}-9xy-9y^{2} as a polynomial over variable x.
\left(4x+3y\right)\left(x-3y\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 -9y^{2}. One such factor is 4x+3y. Factor the polynomial by dividing it by this factor.
2\left(4x+3y\right)\left(x-3y\right)
Rewrite the complete factored expression.