x^2+y-xy-x x^3-x^2-x+1 x^2-2x-y^2+1 (x^2+3x)^2-(2x+2)^2 这四个多项式中不含因式(x-1)的是哪个?要求要每个多项式的分解过程是这四个多项式x^2+y-xy-x....x^3-x^2-x+1......x^2-2x-y^2+1......(x^2+3x)^2-(2x+2)^2
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x^2+y-xy-x x^3-x^2-x+1 x^2-2x-y^2+1 (x^2+3x)^2-(2x+2)^2 这四个多项式中不含因式(x-1)的是哪个?要求要每个多项式的分解过程是这四个多项式x^2+y-xy-x....x^3-x^2-x+1......x^2-2x-y^2+1......(x^2+3x)^2-(2x+2)^2
x^2+y-xy-x x^3-x^2-x+1 x^2-2x-y^2+1 (x^2+3x)^2-(2x+2)^2 这四个多项式中不含因式(x-1)的是哪个?
要求要每个多项式的分解过程
是这四个多项式x^2+y-xy-x....x^3-x^2-x+1......x^2-2x-y^2+1......(x^2+3x)^2-(2x+2)^2
x^2+y-xy-x x^3-x^2-x+1 x^2-2x-y^2+1 (x^2+3x)^2-(2x+2)^2 这四个多项式中不含因式(x-1)的是哪个?要求要每个多项式的分解过程是这四个多项式x^2+y-xy-x....x^3-x^2-x+1......x^2-2x-y^2+1......(x^2+3x)^2-(2x+2)^2
x^2+y-xy-x=x(x-y)-(x-y)=(x-1)(x-y)
x^3-x^2-x+1=(x+1)(x-1)^2
x^2-2x-y^2+1=(x-1)^2-y^2=(x-1+y)(x-1-y)
(x^2+3x)^2-(2x+2)^2=(x-1)(x^3+5x^2+12x+4)
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[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
[x(x^2y^2-xy)-y(x^2-x^3y)]/(2x^2y)
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(-x-y)(x^2+xy+y^2)
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2*(x-y)²(y-x)(xy)
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