Given that x + y = 1, xy = - half, the value of X (x + y) 2-x (x2-y2) can be obtained by using decomposition factor

Given that x + y = 1, xy = - half, the value of X (x + y) 2-x (x2-y2) can be obtained by using decomposition factor


x(x+y)2-x(x2-y2)
=x(x+y)2-x(x+y)*(x-y)
=x(x+y)*(x+y-x+y)
=(x+y)*2xy
=1*(-1)
=-1