If x, y, z are in A.P., then the value of (x + y - z)
(y + z-x) is equal to :
(1)8yz - 3y) - 4z (2) 8yz-37? - 4yut
(3) 8yz + 3y2 - 4z? (4) 8yz - 3y + 4z?
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Answer:If x,y and z are in AP, then 2y=x+z
Substituting x as 2y−z in the above expression, we get
(x+y−z)(y+z−x)
=(2y−z+y−z)(y+z−2y+z)
=(3y−2z)(−y+2z)
=6yz−3y
2
−4z
2
+2yz
=8yz−3y
2
−4z
2
Step-by-step explanation:
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