Simplify: frac1x(x+1)+frac1(x+1)(x+2)+frac1(x+2)(x+3)\\frac{1}{x(x+1)}+\\frac{1}{(x+1)(x+2)}+\\frac{1}{(x+2)(x+3)}frac1x(x+1)+frac1(x+1)(x+2)+frac1(x+2)(x+3) using partial fractions.
frac3x(x+3)\\frac{3}{x(x+3)}frac3x(x+3)
frac1x+1\\frac{1}{x+1}frac1x+1
frac3x+3\\frac{3}{x+3}frac3x+3
frac1x(x+1)(x+2)(x+3)\\frac{1}{x(x+1)(x+2)(x+3)}frac1x(x+1)(x+2)(x+3)