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用三种方法把x^3-xy^2+x^2y-y^3进行因式分解
人气:436 ℃ 时间:2020-03-29 17:34:04
解答
第一种:x^3-xy^2+x^2y-y^3=(x^3-xy^2)+(x^2y-y^3)=x(x^2-y^2)+y(x^2-y^2)=(x+y)(x^2-y^2)=(x+y)(x+y)(x-y)=(x-y)(x+y)^2第二种:x^3-xy^2+x^2y-y^3=(x^3-y^3)+(x^2y-xy^2)=(x-y)(x^2+xy+y^2)+xy(x-y)=(x-y)(x^2+2xy...
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