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3.
=a^2/ab-b^2/ab-b(a-b)/a(b-a)+a/b
=a/b-b/a+b/a+a/b
=2a/b
4.
=a(a+3)/(a+1)(a+2)*(a+1)/(a+3)-2/(a+2)
=a/(a+2)-2/(a+2)
=(a-2)/(a+2)
5.
=(4-2x+x^2-4+2x)/(2-x)
=x^2/(2-x)
6.
=((a+1)/(a-1)+1/(a-1)^2)*(a-1)/a
=((a+1)(a-1)+1)/(a-1)a
=a/(a-1)
7.
=(x(x+2-x+2)/(x-2)(x+2))*(2-x)/4
=-x/(x+2)
8.
=1/2x-1/2x+x/(x+y)+y/(x+y)
=(x+y)/(x+y)
=1