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分组分解.X^2(X+Y)^2-12X(X+Y)^2+36(X+Y)^2-(X+Y)^4

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/15 06:07:50
分组分解.X^2(X+Y)^2-12X(X+Y)^2+36(X+Y)^2-(X+Y)^4
X^2(X+Y)^2-12X(X+Y)^2+36(X+Y)^2-(X+Y)^4
=(x+y)^2*[x^2-12x+36-(x+y)^2]
=(x+y)^2*[(x-6)^2-(x+y)^2]
=(x+y)^2*[(x-6)-(x+y)]*[(x-6)+(x+y)]
=-(x-6)(2x+y-6)(x+y)^2