
初二数学题.要过程
3个回答
2013-01-03
展开全部
[3(x-y)^4(x+y)^5-6(x-y)^3(x+y)^4]/[3(x-y)^2(x+y)^3]
=3(x-y)^4(x+y)^5/[3(x-y)^2(x+y)^3]-6(x-y)^3(x+y)^4/[3(x-y)^2(x+y)^3]
=(x-y)^2(x+y)^2-2(x-y)(x+y)
=(x-y)(x+y)(x^2-y^2-2)
或者直接对分子合并同类项,再做,答案也是一样的~
见下:
[3(x-y)^4(x+y)^5-6(x-y)^3(x+y)^4] / [3(x-y)^2(x+y)^3]
=3(x-y)^3(x+y)^4(x^2-y^2-2) / 3(x-y)^2(x+y)^3
=(x-y)(x+y)(x^2-y^2-2)
x^2表示x的平方,x^3表示x的三次方,以此类推等等。
=3(x-y)^4(x+y)^5/[3(x-y)^2(x+y)^3]-6(x-y)^3(x+y)^4/[3(x-y)^2(x+y)^3]
=(x-y)^2(x+y)^2-2(x-y)(x+y)
=(x-y)(x+y)(x^2-y^2-2)
或者直接对分子合并同类项,再做,答案也是一样的~
见下:
[3(x-y)^4(x+y)^5-6(x-y)^3(x+y)^4] / [3(x-y)^2(x+y)^3]
=3(x-y)^3(x+y)^4(x^2-y^2-2) / 3(x-y)^2(x+y)^3
=(x-y)(x+y)(x^2-y^2-2)
x^2表示x的平方,x^3表示x的三次方,以此类推等等。
追问
最后一步不能在化简了么?
追答
是的,因为x^2-y^2-2已经在初中的范围内已经不能再化简了~
这个是最简结果呢~
展开全部
3(X-Y)^2(X+y)^3((x-y)^2(x+y)^2-2(x-y)(x+y))/(3(x-y)^2(x+y0^3)=(x-y)^2(x+y)^2-2(x-y)(x+y)=(x^2-y^2)^2-2(x^2-y^2)=(x-y)(x+y)(x^2-y^2-2)
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