因式分解:2a^3-2a^2b+8b-8a
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因式分解:2a^3-2a^2b+8b-8a
![因式分解:2a^3-2a^2b+8b-8a](/uploads/image/z/17387000-8-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A2a%5E3-2a%5E2b%2B8b-8a)
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 )
= 2(a^2)( a - b ) - 8( a - b )
= 2( a - b )( a^2 - 4 )
= 2( a - b )( a - 2 )( a + 2 )