Solve each equation 2x 3x x 3 SolutionThe LCM of x1x1 and x2

Solution

The LCM of (x-1),(x+1) and (x²-1) is x² -1. Then [2x/(x-1)] +[3x/(x+1)] –[(x+3)/ (x²-1)] = [2x(x+1)+3x(x-1)-(x+3)(x²-1)]/ (x²-1) = [2x²+2x+3x²-3x-(x³-x+3x²-3)]/ (x²-1) = (-x³+2x²+3)/ (x²-1)