SOLUTION: suppose that m + n =3 and m^2 + n^2 = 6 what is the value of m^3 + n^3 ? a 12 b 13 c 13.5 d 14 e 14.5

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Question 252435: suppose that m + n =3 and m^2 + n^2 = 6 what is the value of m^3 + n^3 ?
a 12 b 13 c 13.5 d 14 e 14.5
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Given, m + n =3 and m^2 + n^2 = 6
(m+n)^2 = m^2+n^2+2m*n
3^2 = 6+2m*n
9 = 6+2m*n
3 = 2m*n
m*n = 3/2
m*n = 1.5
Next, m^3+n^3 = (m+n)*(m^2+n^2-m*n)
= 3*(6-1.5)
= 3*(4.5)
=13.5