分解因式(1)8a³b²-12ab³c (2)-3x³+6xy-3x(3)10a²b+5ab²-15ab

问题描述:

分解因式(1)8a³b²-12ab³c (2)-3x³+6xy-3x(3)10a²b+5ab²-15ab
(4)6a(m-2)+8b(m-2)(5)3(x-2y)²-(2y-x)(6)已知x+y=2,xy=-4,求x³y²+x²y³的值

(1)8a³b²-12ab³c
=4ab²(2a²-3bc)
(2)-3x³+6xy-3x
=-3x(x²-2y+1)
(3)10a²b+5ab²-15ab
=5ab(2a+b-3)
(4)6a(m-2)+8b(m-2)
=2(m-2)(3a+4b)
(5)3(x-2y)²-(2y-x)
=3(x-2y)²+(x-2y)
=(x-2y)(3x-6y+1)
(6)已知x+y=2,xy=-4,求x³y²+x²y³的值
x³y²+x²y³=x²y²(x+y)
=(xy)²(x+y)
=16×2
=32