因式分解x3+x2+xy-xy2

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因式分解x3+x2+xy-xy2
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因式分解x3+x2+xy-xy2
因式分解x3+x2+xy-xy2

因式分解x3+x2+xy-xy2
x^3+x^2+xy-xy^2
=x(x^2+x+y-y^2)
=x(x^2-y^2+x+y)
=x[(x+y)(x-y)+(x+y)]
=x(x+y)(x-y+1)

原式 = (x3-xy2) + (x2+xy)
= x(x2-y2) + x(x+y)
= x(x+y)(x-y) + x(x+y)
= x(x+y)(x-y+1)

原式 = (x3-xy2) + (x2+xy)
= x(x2-y2) + x(x+y)
= x(x+y)(x-y) + x(x+y)
= x(x+y)(x-y+1)

x(x+y)(x-y+1)

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