If a + b + c = 9 and a²+ b² + c² =35, find the value of a³ + b³+ c³ −3abc

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Solution

In the given problem, we have to find value of

Given

We shall use the identity

We know that

Here substituting we get

Hence the value of is .

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Similar questions

If a+b+c =9 and a² + b²+ c²=35 find the value of a³ + b³ + c³ - 3ab

If a + b + c = 9, and $a^{2} + b^{2} + c^{2} = 35$ , find the value of $a^{3} + b^{3} + c^{3} - 3 a b c .$

a + b + c = 12

a^{2} + b^{2} + c^{2} = 90

a^{3} + b^{3} + c^{2} - 3 a b c

a + b + C = 12

a^{2} + b^{2} + c^{2} = 50

a b + b c + a c

a^{3} + b^{3} + c^{3} - 3 a b c

\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a}

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