(x+y)的三次方(x-y)的二次方-(x-y)(x+y)(x的二次方+y的二次方)急~明天就要用,我要的是过程,不是结果,过程要明确100分呢,高手进对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)

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(x+y)的三次方(x-y)的二次方-(x-y)(x+y)(x的二次方+y的二次方)急~明天就要用,我要的是过程,不是结果,过程要明确100分呢,高手进对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)

(x+y)的三次方(x-y)的二次方-(x-y)(x+y)(x的二次方+y的二次方)急~明天就要用,我要的是过程,不是结果,过程要明确100分呢,高手进对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)
(x+y)的三次方(x-y)的二次方-(x-y)(x+y)(x的二次方+y的二次方)
急~明天就要用,我要的是过程,不是结果,过程要明确
100分呢,高手进
对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)

(x+y)的三次方(x-y)的二次方-(x-y)(x+y)(x的二次方+y的二次方)急~明天就要用,我要的是过程,不是结果,过程要明确100分呢,高手进对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)
= x^4+y^4-2x^2 y^2-x^4+y^4
= 2y^4- 2x^2 y^2

问题疑为:(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)
(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)
=(x+y)^3(x-y)^2-(x+y)^2(x-y)^3
=(x+y)^2(x-y)^2[x+y-x+y]
=2y(x+y)^2(x-y)^2对不起,我打错了,题目应该是(x+y)^2(x-y)^2-(x-y)(x...

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问题疑为:(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)
(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)
=(x+y)^3(x-y)^2-(x+y)^2(x-y)^3
=(x+y)^2(x-y)^2[x+y-x+y]
=2y(x+y)^2(x-y)^2

收起

(x+y)^2(x-y)^2-(x-y)(x+y)(x^2+y^2)
=(x+y)(x-y)[(x+y)(x-y)-(x^2+y^2)]
=(x+y)(x-y)[x^2-y^2-x^2-y^2]
=-2y^2(x+y)(x-y)

(x+y)^3(x-y)^2-(x-y)(x+y)(x^2+y^2)
= (x+y)^3(x-y)^2-(x^2-y^2)(x^2+y^2)
=(x+y)(x+y)^2(x-y)^2-(x^2-y^2)(x^2+y^2)
=(x+y)(x^2-y^2)^2-(x^2-y^2)(x^2+y^2)
=(x^2-y^2){(x+y)(x^2-y^2)-(x^2+y^2)}...

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(x+y)^3(x-y)^2-(x-y)(x+y)(x^2+y^2)
= (x+y)^3(x-y)^2-(x^2-y^2)(x^2+y^2)
=(x+y)(x+y)^2(x-y)^2-(x^2-y^2)(x^2+y^2)
=(x+y)(x^2-y^2)^2-(x^2-y^2)(x^2+y^2)
=(x^2-y^2){(x+y)(x^2-y^2)-(x^2+y^2)}
=(x+y)(x-y){(x+y)(x^2-y^2)-(x^2+y^2)}

收起