作业帮帮忙分解几个分式1.(x²+9x)/(x²+3x)+(x²-9)/(x²+6x+9)2.((3x/x-2)-(x/x+2))×(x²-4/x)3.(2+(1/a-1)-(1/a+1)）÷(a-(a/1-a²),其中a=24.已知1/a+1/b=-4/a+b,求b/a+a/b
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帮忙分解几个分式1.(x²+9x)/(x²+3x)+(x²-9)/(x²+6x+9)2.((3x/x-2)-(x/x+2))×(x²-4/x)3.(2+(1/a-1)-(1/a+1)）÷(a-(a/1-a²),其中a=24.已知1/a+1/b=-4/a+b,求b/a+a/b
帮忙分解几个分式
1.(x²+9x)/(x²+3x)+(x²-9)/(x²+6x+9)
2.((3x/x-2)-(x/x+2))×(x²-4/x)
3.(2+(1/a-1)-(1/a+1)）÷(a-(a/1-a²),其中a=2
4.已知1/a+1/b=-4/a+b,求b/a+a/b
帮忙分解几个分式1.(x²+9x)/(x²+3x)+(x²-9)/(x²+6x+9)2.((3x/x-2)-(x/x+2))×(x²-4/x)3.(2+(1/a-1)-(1/a+1)）÷(a-(a/1-a²),其中a=24.已知1/a+1/b=-4/a+b,求b/a+a/b
1.
(x^2+9x)/(x^2+3x)+(x^2-9)/(x^2+6x+9)
=[x(x+9)]/[x(x+3)]+[(x-3)(x+3)]/[(x+3)^2]
=(x+9)/(x+3)+(x-3)/(x+3)
=[(x+9)+(x-3)]/(x+3)
=(2x+6)/(x+3)
=2(x+3)/(x+3)
=2
2.
[3x/(x-2)]-[x/(x+2)]*[(x^2-4)/x]
[3x/(x-2)]-[x/(x+2)]*[(x-2)(x+2)/x]
[3x/(x-2)]-(x-2)
[3x-(x-2)^2]/(x-2)
[3x-(x^2-4x+4)]/(x-2)
(-x^2+7x-4)/(x-2)
3.
{2+[1/(a-1)]-[1/(a+1)]}÷{a-[a/(1-a^2)]}
=[2(a-1)(a+1)+(a+1)-(a-1)]/[(a-1)(a+1)]÷{[a(1-a^2)-a]/(1-a^2)}
=(2a^2-2+a+1-a+1)/[(a-1)(a+1)]÷(a-a^3-a)/(1-a^2)
=2a^2/[(a-1)(a+1)]÷(-a^3)/(1-a^2)
=2a^2/[(a-1)(a+1)]*(1-a^2)/(-a^3)
=2a^2/[(a-1)(a+1)]*(a^2-1)/a^3
=2a^2/[(a-1)(a+1)]*[(a-1)(a+1)]/a^3
=2a^2/a^3
=2/a
4.
(1/a)+(1/b)=-4/(a+b)
b(a+b)+a(a+b)=-4ab
(a+b)(a+b)=-4ab
(a+b)^2=-4ab
(b/a)+(a/b)
=(a^2+b^2)/ab
=[(a+b)^2-2ab]/ab
=(-4ab-2ab)/ab
=(-6ab)/ab
=-6
2题，2x-4
3题，1
4题，-6