Simplify (x+y)^3 - (x-y)^3 -6y(x^2-y^2) Share with your friends Share 0 Mohammed Javed answered this Dear StudentGiven(x+y)3 - (x-y)3 -6y(x2 - y2)= (x+y)3 - (x-y)3 - 3 (2y) [(x+y) (x-y)] [ a2 - b2 = (a+b) (a-b) ]= (x+y)3 - (x-y)3 - 3 {(x+y) - (x-y)} [(x+y) (x-y)] [ 2y = (x+y) - (x-y)]= (x+y)3 - (x-y)3 - 3 (x+y) (x-y) {(x+y) - (x-y)} ....(i) [ After Rearranging]Leta = x+y ; b = x- yTherefore, equation (i) becomesa3 - b3 - 3ab (a-b)= (a-b)3= [ (x+y) - (x-y) ]3 (Substituting value of a and b)= (2y)3= 8y3Regards 0 View Full Answer
