Math, asked by shashwatmishra673, 11 months ago

if x,y,z,are in A.P., then find the value of(x+y-z)(y+z-x)​

Answers

Answered by pryajan81
0

x2 +y2+z2+2xy+2yz+2zx


shashwatmishra673: Sorry but answer is not correct
Answered by arpitleo11
5

given d=y-x=z-y

then

(x +y -z)(y+z-x)

(x-d)(z+d)

(y-2d)(y+2d)

y^2 -4d^2


shashwatmishra673: Sorry but answer is8yz-3y^2-4z^2
arpitleo11: change y^2-4d^2 where d =z-y
arpitleo11: then y^2-4(z-y)*(z-y)
arpitleo11: then y^2-4(z^2+y^2-2zy)
arpitleo11: solve it then it comes 8yz-3y^2-4z^2
arpitleo11: your answer
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