Question

If a+b+c = 0, show that a³+b³+c³ = 3abc​

Answer 1

Step-by-step explanation:

(a+b+c)³ it is the formula.then a+b+c=0 so

0³ =0 proved

Answer 2

• Given, a+b+c = 0 ............. (Equation 1)
• On solving above equation :
• a+b = -c ............(Equation 2)
• On cubing both sides of Equation 2 :
• (a+b) ³ = (-c) ³
• a³ + b³ + 3ab(a+b) = -c³
• We know that a+b = -c (from equation 2)
• a³ + b³ + 3ab(-c) = -c³
• a³ + b³ - 3abc = -c³
• a³ + b³ + c³ = 3abc

Hence proved...!!!

Hope it helps... ❤