Question

if x,y,z are in ap then find the value of( x+y-z)(y+z-x)

Answer 1

(x+y-z)(y+z-x)
=x(y+z-x)
=(xy+xz-x square)
y(y+z-x)
(y square +yz-xy)
-z(y+z-x)
(-z+xy)
=-x square +xy +xz+y square+yz-z