Question

做两道因式分解

1. -8a³b­²+12ab³c-6a²b

2. (2m-3n)²-2m+3n

Answer 1

1.
-8a^3b­^2+12ab^3c-6a^2b
=-6(3a^3b­^2-2ab^3c+a^2b)
=-6a(3a^2b­^2-2b^3c+ab)
=-6ab(3a^2b­-2b^2c+a)

2.
(2m-3n)^2-2m+3n
=(2m-3n)^2-(2m-3n)
=(2m-3n)[(2m-3n)-1]
=(2m-3n)(2m-3n-1)

Answer 2

1. -8a³b­²+12ab³c-6a²b
=12ab³c-8a³b­²-6a²b
=2ab(6b­²c-4a²b-3a)
2.(2m-3n)²-2m+3n

Answer 3

8a³b­²+12ab³c-6a²b=2ab(-4a^2b+6b^2c-3a)

(2m-3n)²-2m+3n =(2m-3n)²-(2m-3n)=(2m-3n)(2m-3n-1)

Answer 4

8a³b­²+12ab³c-6a²b=2ab(-4a^2b+6b^2c-3a)