Question

x ,y and z are in A.P. so find the value of (x+y-z)(y+z-x)

Answer 1

X,Y,Z are in AP
then y-x=z-y
2y=x+z
y=x+z/2
According to question
(x+y-z)(-x+y+z)
x-z+x+z  (-x+x+z +z)
       2            2


(2x-2z+x+z)        (x+z+2z-2x)
2                            2

1/4 (3x-z)(3z-x)