Question

if a + b + c = 0, then what is the value of a3 + b3 + c3 ?​

Answer 1

Answer: 0

Step-by-step explanation:

Answer 2

$\therefore a^3+b^3+c^3=3abc$

Step-by-step explanation:

We know that

$a^3+b^3+c^3-3abc= (a+b+c)(a^2+b^2+c^2-ab-bc-ac)$ ....(1)

Given that a+b+c=0

Putting the value of a+b+c in (1) we get

$a^3+b^3+c^3-3abc=0.(a^2+b^2+c^2-ab-bc-ac)$

$\Rightarrow a^3+b^3+c^3-3abc=0$

[ if we multiply any number with 0 it return 0 always]

$\therefore a^3+b^3+c^3=3abc$

The degree of above equation is 3, because the maximum power of a variable is the degree of the equation.

Here 3 variables are present and they are a,b and c.