因式分解:25a(x-2y)^3+4a(2y-x)
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因式分解:25a(x-2y)^3+4a(2y-x)因式分解:25a(x-2y)^3+4a(2y-x)因式分解:25a(x-2y)^3+4a(2y-x)解由25a(x-2y)^3+4a(2y-x)=25
因式分解:25a(x-2y)^3+4a(2y-x)
因式分解:25a(x-2y)^3+4a(2y-x)
因式分解:25a(x-2y)^3+4a(2y-x)
解由25a(x-2y)^3+4a(2y-x)
=25a(x-2y)^3+4a(x-2y)
=a(x-2y)[25(x-2y)²-4]
=a(x-2y)[5²(x-2y)²-2²]
=a(x-2y)[(5x-10y)²-2²]
=a(x-2y)[(5x-10y+2)(5x-10y-2)]
=a(x-2y)(5x-10y+2)(5x-10y-2)
原式=25a(x-2y)^3-4a(x-2y)
=a(x-2y)[25(x-2y)^2-4]
=a(x-2y){[5(x-2y)]^2-2^2}
=a(x-2y)[5(x-2y)+2][5(x-2y)-2]
=a(x-2y)(5x-10y+2)(5x-10y-2)
25a(x-2y)^3+4a(2y-x)
=a(x-2y) [ 25(x-2y)^2 - 4 ]
=a(x-2y) [5(x-2y)-2] [5(x-2y)+2]
==a(x-2y) (5x-10y-2) ( 5x-10y+2 )
因式分解:25a(x-2y)^3+4a(2y-x)
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