Math, asked by pandeymanjula2pbap47, 6 months ago

If x,y,z are in AP, prove that (x+2y-z)(2y+z-x)(z+x-y)=4xyz​

Answers

Answered by pandaaaa0305
9

Answer:

Given that x, y, z are in ap

Therefore x+z=2y

Lhs=(X+2y-z) (2y+z-x)(z+x-y)

Putting the value of 2y

(X+X+z-z) (X+z+z-x) (2y-y)

(2x) (2z) (y)

4xyz=rhs

Hence proved

Step-by-step explanation:

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