Question

if a+b+c=0 then find the value of a³+b³+c³​

Answer 1

Step-by-step explanation:

a³+b³+c³=3abc

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Answer 2

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Given :-,

→ a + b + c = 0.

➡ To Find :-

→ a³ + b³ + c³ .

➡ Solution:-

▶ By using an identity :-

→ a³ + b³ + c³ - 3abc = ( a + b + c ) ( a²+ b² + c² - ab - bc - ca ).

Now, put the value of ( a + b + c ) in the identity.

=> a³ + b³ + c³ - 3abc = ( 0 ) ( a²+ b² + c² - ab - bc - ca ).

We know that if any number is multiplied by 0, then the value came out is 0.

→ Here, ( a²+ b² + c² - ab - bc - ca ) is the number.

→ So, it is multiplied by 0, then the value is 0.

=> a³ + b³ + c³ - 3abc = 0.

Move the - 3abc to the RHS side, the minus value changes to plus.

=> a³ + b³ + c³ = 3abc.

✔✔ Hence, it is solved ✅✅.