Add and Simplify If Possible 6 x y 4x y2 x2SolutionWe h

Add and Simplify If Possible:

6  / x - y   + 4x /  y² – x²

Solution

We have 6 / (x -y) + 4x / ( y² -x²) = 6 / (x -y) - 4x / ( x² -y²) = 6 / (x -y) -4x / [ (x + y) (x -y) ] = [6(x + y) -4x]/ [ (x + y)(x -y)] = (6x + 6y - 4x)/ ( x² - y²) = (2x + 6y)/ (  x² - y²) = 2(x + 3y) / ( x² - y²)