Question 57

If a + b + c = 4 and ab + bc + ca = 2, then $$a^3 + b^3 + c^3 - 3abc$$ is equal to:

$$(a + b + c) ^ 2$$ =$$a^2 + b^2 +c^2$$ + 2ab +2bc + 2ca

16= $$a^2 + b^2 +c^2$$ + 4

$$a^2 + b^2 +c^2$$ = 12

$$a^3 + b^3 + c^3 - 3abc$$ = (a + b + c) ($$a^2 + b^2 +c^2$$ - (ab + bc +ca))=4 (12 - 2) = 40

So, the answer would be option c) 40.

Get AI Help

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.