求(x²+2xy+y²)(x²-xy+y²)²要详细过程
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求(x²+2xy+y²)(x²-xy+y²)²要详细过程
求(x²+2xy+y²)(x²-xy+y²)²要详细过程
求(x²+2xy+y²)(x²-xy+y²)²要详细过程
此题中要运用x,y三次和的展开式,即 x^3+y^3=(x+y)(x^2-xy+y^2) ,
知道这个式子后就好化简了
原式=[(x+y)^2][(x^2-xy+y^2)^2]
=(x^3+y^2)^2 由上面公式逆推即可
由于不知怎么表示幂次,故用x^2表示x的平方,望谅解