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If x, y, z are in AP then the value of (X + Y - Z )(Y + Z - X )is A) 8yz-4y²-3z²B 4xy-3z²C 8xy-4x²-3y²D 4yz-3x²

Sudhanva G V , 6 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 6 Years ago

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)

 

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