Question

PLS FRIENDS ANYONE ANSWER ANY MODERATORS, NO ONE IS ANSWERING MY QUESTION CLEARLY .........I WILL MRK IT AS BRAINLIEST.......
Find the value of a²/bc+b²/ac+c²/ab if a+b=-c

Answer 1

Given a + b = -c.

On cubing both sides, we get

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

= > a^3 + b^3 + 3ab(a + b) = -c^3

= > a^3 + b^3 + 3ab(-c) = -c^3

= > a^3 + b^3 + c^3 = 3abc ------ (1)

Now,

= > (a^2/bc) + (b^2/ac) + (c^2/ab)

= > (a^3 + b^3 + c^3)/abc

= > 3abc/abc

= > 3.

Hope this helps