Question

If a+b+c = 3, a²+b²+c² = 5 and a³+b³+c³ = 9; Find the value of abc.

Answer 1

Answer:

answer is 1/3

Step-by-step explanation:

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

5+2(ab+bc+ca)=3^2

ab+bc+ca=2

a^3+b^3+c^3=(a+b+c) (a^2+b^2+c^2-ab-bc-ac)+3abc

9=(3) (5-2)+3abc

9=9+3abc

1=3abc

1/3=abc

I hope this helps u