因式分解:2a^3-2a^2b+8b-8a

题目

因式分解:2a^3-2a^2b+8b-8a

答案

2(a^3) - 2(a^2)b + 8b - 8a
= 2(a^2)( a - b ) - 8( a - b )
= 2( a - b )( a^2 - 4 )
= 2( a - b )( a - 2 )( a + 2 )