Question

If a+b+c =0,then find,
a3+b3+c3

Answer 1

Step-by-step explanation:

QUESTION:

If a+b+c =0,then find,

a3+b3+c3.

SOLUTION:

We know that ${a}^{3} + {b}^{3} + {c}^{3} - 3abc \\ = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab -bc - ca )$

If (a+b+c) = 0

Then, a³+b³+c³-3abc

= (a+b+c)(a²+b²+c²-ab-bc-ca)

= 0× (a²+b²+c²-ab-bc-ca)

= 0

If a³+b³+c³-3abc = 0

Then, a³ + b³+ c³ = 3abc