a-{c+(b-c)} = _____.
a-b-2c
a+b-2c
a-b
a+b
If a, b, c are in G.P., prove that:
(i) a(b2+c2)=c(a2+b2)
(ii) a2b2c2(1a3+1b3+1c3)=a3+b3+c3
(iii) (a+b+c)2a2+b2+c2=a+b+ca−b+c
(iv) 1a2−b2+1b2=1b2−c2
(v) (a+2b+2c)(a−2b+2c)=a2+4c2.
Prove that
2a^2+2b^2+2c^2-2ab-2bc-2ca={(a-b)^2+(b-c)^2+(c-a)^2}