If a + b + c = 0 then the value of a3 + b3 + c3
Question
If a + b + c = 0 then the value of a3 + b3 + c3
Solution
The given equation is a + b + c = 0.
We know that the formula for a³ + b³ + c³ - 3abc is (a + b + c)(a² + b² + c² - ab - bc - ca).
Given that a + b + c = 0, we can substitute this into the formula to get:
0 * (a² + b² + c² - ab - bc - ca) = 0.
Therefore, a³ + b³ + c³ - 3abc = 0.
So, a³ + b³ + c³ = 3abc.
Similar Questions
If a + b + c = 0 then the value of a3 + b3 + c3
If a = 4.36, b = 2.39, c = 1.97, then the value of a3-b3-c3-3abc is
Context: If a³+b³+c³–3abc=0, then find the value of (a²/bc+b²/ac–3).(a) –c²/ab(b) –c²/bc(c) –c³/ba(d) –c/a Answer question
If three unequal numbers a, b, c are in A.P. and b − a, c − b , a are in G.P., then a3 + b3 + c3abc is equal to
Let α, β, γ be the three roots of the equation x3+bx+c=0 if βγ=1=−α then b3+2c3−3α3−6β3−8γ3 is equal to
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.