If a+b+c=0,then find a 3 +b 3 +c 3 ??
Answers
Answered by
0
We know that (a+b+c)³ = a³+b³+c³ + 3(a+b)(b+c)(a+c) ----------- (i)
And we need to find the value of a³ + b³ + c³
From (i) we have, a³ + b³ + c³ = (a+b+c)³ - 3(a+b)(b+c)(a+c)
Hence
a³ + b³ + c³ = - 3(a+b)(b+c)(a+c); because we are given that a+b+c=0
And we need to find the value of a³ + b³ + c³
From (i) we have, a³ + b³ + c³ = (a+b+c)³ - 3(a+b)(b+c)(a+c)
Hence
a³ + b³ + c³ = - 3(a+b)(b+c)(a+c); because we are given that a+b+c=0
Similar questions