if (a+b+c)=0 then find (a2 +b2+ c2)/ c2 -ab - Maths - Linear Equations in One Variable

Question

if (a+b+c)=0
then find (a2 +b2+ c2)/
c2 -ab

Kavya Prabhal · Accepted Answer

a + b = –c
(a + b)2 =
c2
a2 + b2 =
c2 – 2ab

substituting this value in given
expression,
= (2c2 –
2ab)/(c2 – ab)
= 2(c2 –
ab)/(c2 – ab)
= 2