Question

A,b,c are three real numbers such that a+b+c = 7,a^2+b^2+c^2 = 35 and a^3+b^3+c^3 = 151. Find the value of abc.

Answer 1

⇒a3+b3+c3-3abc
⇒(a+b+c)(a2+b2+c2-ab-bc-ac)
⇒(a+b+c)^2
⇒a2+b2+c2+2ab+2bc+2ac