因式分解:2x^3 y+4x^2y+2 xy^3
2016-07-26 06:09:33
2x^3y+4x^2y^2-xy^3
=-xy(2x²-4xy+2y²-y²)
=-xy[2(x²-2xy+y²)-y²]
=-xy[2(x-y)²-y²]
=-xy[√2(x-y)+y][√2(x-y)-y]
=-xy[(√2)x-(√2)y+y][(√2)x-(√2)y-y]
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