因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)

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因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)

因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)
因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)

因式分解-6a^3+4ab^3-2a^2b,3a^2(x-y)+27(y-x)
-6a^3+4ab^2-2a^2b
=-2a(3a^2-2b^2+ab)
=-2a(3a-2b)(a+b)
3a^2(x-y)+27(y-x)
=3a^2(x-y)-27(x-y)
=3(x-y)(a^2-9)
=3(x-y)(a-3)(a+3)

问一下,^是什么意思

-6(a^3) + 4ab" - 2a"b
= (-2a)( 3a" - 2b" + ab )
= (-2a)[ 3a" + 3ab - 2ab - 2b" ]
= (-2a)[ 3a( a + b ) - 2b( a + b ) ]
= -2a( a + b )( 3a - 2b )
3a"(x - y) + 27(y - x)
= 3a"( x - y ) - 27( x - y )
= 3( x - y )( a" - 9 )
= 3( x - y )( a - 3 )( a + 3 )