因式分解(1)-8a³b²+12ab³c-6a²b(2)(2m-3n)²-2m+3n

问题描述:

因式分解(1)-8a³b²+12ab³c-6a²b(2)(2m-3n)²-2m+3n

- 8a"'b" + 12ab"'c - 6a"b
= -2( 4a"'b" - 6ab"'c + 3a"b )
= -2a( 4a"b" - 6b"'c + 3ab )
= - 2ab( 4a"b - 6b"c + 3a )
( 2m - 3n )" - 2m + 3n
= ( 2m - 3n )" - ( 2m - 3n )
= ( 2m - 3n )[ ( 2m - 3n ) - 1 ]
= ( 2m - 3n )( 2m - 3n - 1 )