数学初二计算!

来源:百度知道 编辑:UC知道 时间:2024/05/23 01:35:00
(x^2+y^2分之x^2-y^2)^3÷(x^4-y^4分之x^2+2xy+y^2)^2

原式=[(x+y)^3*(x-y)^3/(x^2+y^2)]*[(x^2+y^2)^2*(x+y)^2*(x-y)^2]/(x+y)^4
=(x-y)^3*(x+y)*(x-y)^2
=(x+y)(x-y)^5

原式=(x^2+y^2)^3分之(x^2-y^2)^3*(x+y)^4分之(x^2+y^2)^2(x^2-y^2)^2
=(x^2+y^2)(x+y)^4分之(x+y)^3(x-y)^3(x+y)^2(x-y)^2
=x^2+y^2分之(x-y)^5(x+y)

[(x^2-y^2)/(x^2+y^2)]^3÷[(x^2+2xy+y^2)/(x^4-y^4)]^2
=[(x^2-y^2)^3/(x^2+y^2)^3]÷[(x+y)^4/(x^2+y^2)^2(x^2-y^2)^2]
=(x^2-y^2)^3(x^2+y^2)^2(x^2-y^2)^2/[(x^2+y^2)^3(x+y)^4]
=(x^2-y^2)^5/(x+y)^4
=(x+y)^5(x-y)^5/(x+y)^4
=(x+y)(x-y)^5