If a+b+c 0, then (a+b +c ^2)^3+(a+b ^2+c )^3=

JEE Main Mathematics question

If , then

Answer: (A)

Let and ; then and xy=a^2+b^2+c^2-ab-bc-ca, and the expression is . The standard identity gives ; check with :

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-013959