Math, asked by kumarsumit121187, 6 months ago

find the value of.......use identity a^3+b^3+c^3=3abc​

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Answered by Anonymous
4

Answer:

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

Now it is given that : a3 + b3 + c3 = 3abc

So,

a3 + b3 + c3 - 3abc = 0

(a + b + c )(a2 + b2 + c2 -ab - ac -bc) = 0

this means either

(a2 + b2 + c2 -ab - ac -bc) = 0 or (a + b + c ) = 0

(a2 + b2 + c2 -ab - ac -bc) = 0 cannot be zero because:

2a² + 2b² + 2c² -2ab - 2ac - 2bc = 0

a² + b² -2ab + a² +b² +2c² - 2ac -2bc = 0

(a-b)² + a² + c² -2ac + b² + c² -2bc = 0

(a-b)² + (a-c)² + (b-c)² = 0

(a-b)² , (a-c)² ,(b-c)² >=0

As a≠b≠c , The given value cannot be zero

Answered by sakshi72748
1

Answer:

sir ne aaj bhej diya hai ok

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