Question

af x+y+z = 0, show that x? + y +z? = 3xyz.
Show that (a - b)2 + (6 -c)+(c - a)3 = 3 (a - b) (b -c) (c-a)
11
olugofeach of the follos
how can we write in ( x - y )^ 3​

Answer 1

Step-by-step explanation:

given if x+y+z=0

now compare (a-b)(b-c) (c-a)

then x=a-b

y=b-c

z=c-a

so

a-b+b-c+c-a=0

if x+y+z=0 then x^2+y^2+z^2=3xyz

so if (a-b) +(b-c) +(c-a) =0 then

(a-b) ^2+ (b-c) ^2+(c-a) ^2 =3(a-b) (b-c) (c-a)