
分解因式 求高手帮忙 第一道:2x(x-y)ˆ4-x²(x-y)²+xy(y-x)²
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2x(x-y)ˆ4-x²(x-y)²+xy(y-x)²
=x(x-y)²{2(x-y)²-x+y}
=x(x-y)²{2(x-y)²-(x-y)}
=x(x-y)^3(2x-2y-1)
=x(x-y)²{2(x-y)²-x+y}
=x(x-y)²{2(x-y)²-(x-y)}
=x(x-y)^3(2x-2y-1)
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2x(x-y)ˆ4-x²(x-y)²+xy(y-x)²
=x(x-y)²【2(x-y)²-x+y】
=x(x-y)³(2x-2y-1)
=x(x-y)²【2(x-y)²-x+y】
=x(x-y)³(2x-2y-1)
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原式=(x-y)^2[2x(x-y)^2-x^2+xy]
=(x-y)^2[2x(x-y)^2-x(x-y)]
=(x-y)^3[2x(x-y)-x]
=(x-y)^3*x(2x-2y-1)
=x(2x-2y-1)(x-y)^3
=(x-y)^2[2x(x-y)^2-x(x-y)]
=(x-y)^3[2x(x-y)-x]
=(x-y)^3*x(2x-2y-1)
=x(2x-2y-1)(x-y)^3
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=(x-y)^2[2x(x-y)^2-x^2+xy]
=(x-y)^2[2x(x-y)^2-x(x-y)]
=(x-y)^3[2x(x-y)-x]
=(x-y)^3*x(2x-2y-1)
=x(2x-2y-1)(x-y)^3
=(x-y)^2[2x(x-y)^2-x(x-y)]
=(x-y)^3[2x(x-y)-x]
=(x-y)^3*x(2x-2y-1)
=x(2x-2y-1)(x-y)^3
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