Math, asked by sanjboia2007, 2 months ago

if a + b+ c = 5 and ab + bc + ca = 10 then the value of a^3 + b^3 + c^3 -3abc =

Answers

Answered by midhunmadhu1987
0

Answer:

Step-by-step explanation:

We know that,

a^{3} +b^{3} +c^{3} - 3abc = (a + b + c)(a^{2} +b^{2} +c^{2} - ab - bc - ca) ------(1)

Here a + b + c = 5 and ab + bc + ca = 10

Equation (1) can be rewritten as,

a^{3} +b^{3} +c^{3} - 3abc = (a + b + c)[a^{2} +b^{2} +c^{2} - (ab + bc + ca)] ------(2)

Substituting the values in equation (2) we get,a^{3} +b^{3} +c^{3} - 3abc = 5[a^{2} +b^{2} +c^{2} - 10]

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