分解因式:-4a^2b^3+16ab^2-12ab

题目

分解因式:-4a^2b^3+16ab^2-12ab
分解因式:
(1)-4a^2b^3+16ab^2-12ab
(2)6x^3y^2+12x^2y^3-6x^2y^2
(3)(x-3)(x-2)+(x-2)

答案

(1)-4a^2b^3+16ab^2-12ab
=-4ab(ab²-4b+3)
(2)6x^3y^2+12x^2y^3-6x^2y^2
=6x²y²(x+2y-1)
(3)(x-3)(x-2)+(x-2)
=(x-2)(x-3+1)
=(x-2)(x-2)
=(x-2)²