P/(p-2) +6/(2-p) + 2p/(p-2)= p/(p-2) -6/((p-2)+2p/(p-2)=
=(3p-6)/p-2)= 3(p-2)/(p-2)=3
10a/(a-2) -10a/(a+2) = (10a(a+2) - 10a(a-2))/((a-2)(a+2)=
=(10aˇ2 +20a -10aˇ2+20a)/(a-2)(a+2) =
=40a/(aˇ2-4)
x/(1+x) + x/(1-x)= x/(1+x) - x/(x-1)= (x.(x-1)-x(x+1))/(x+1)(x-1)=
=(xˇ2 -x -xˇ2-x)/(x+1)(x-1)=-2x/(xˇ2-1)
m/(1-mˇ2) + 1/(1+m)=(m+1-m)/(1-mˇ2)=1/(1-mˇ2)
(x(x+2y)-xˇ2-4yˇ2+2y(x+2y))/(x+2y)=
=(xˇ2 +2xy-xˇ2-4yˇ2+2xy+4yˇ2)/(x+2y)=
=4xy/(x+2y)
3/2x(x+1) + (2x-1)/(x+1)(x-1) - 2/x=
=(3.(x-1)+2x(2x-1)-4.(x+1)(x-1))/2x(x+1)(x-1)=
=(3x-3+4xˇ2-2x-4xˇ2+4)/2x(x+1)(x-1)=
=(x+1)/2x(x-1)