Question

Find The L.C.M Of:-

x²+y²-z²+2xy , z²+x²-y²+2zx and y²+z²-x²+2yz​

Answer 1

x²+y²+z²

is the LCM of this

Answer 2

Step-by-step explanation:

Just put −x in place of a, y in place of b and −z in place ofc.

The above formula turns out to be,

(−x+y−z)2=x2+y2+z2−2xy−2yz+2xz(Same as your given expression)

Now, solving your given problem is a matter of solving

(−x+y−z)2

=(−b+c+c−a−a+b)2(Put the value ofx,y,z from the given expression)

=(2(c−a))2

=(2y)2(From question)

=4y2(Option (2) )