1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)
=1/3[3/x(x+3)+3/(x+3)(x+6)+3/(x+6)(x+9)]
=1/3[1/x-1/(x+3)+1/(x+3)-1/(x+6)+1/(x+6)-1/(x+9)]
=1/3[1/x-1/(x+9)]
=1/3*(x+9-x)/x(x+9)
=1/3*9/x(x+9)
=3/x(x+9)
1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)
=1/3[3/x(x+3)+3/(x+3)(x+6)+3/(x+6)(x+9)]
=1/3[1/x-1/(x+3)+1/(x+3)-1/(x+6)+1/(x+6)-1/(x+9)]
=1/3[1/x-1/(x+9)]
=1/3*(x+9-x)/x(x+9)
=1/3*9/x(x+9)
=3/x(x+9)