Answer:
2(2x-y)(3x-4y)
Step-by-step explanation:
12x^2 - 22xy + 8y^2
Factor out 2
2 (6x^2 - 11xy + 4y^2)
Consider 6x^2 - 11xy + 4y^2 as a polynomial over variable x.
6x^2 - 11yx + 4y^2
Find one factor of the form kx^m + m, where kx^m divides the monomial with the highest power 6x^2 and n divides the constant factor 4y^2. One such factor is 2x-y. Factor the polynomial by dividing it by this factor.
(2x-y)(3x-4y)
Rewrite the complete factored expression.
2(2x-y)(3x-4y)
