if a+b+c =6 and a2+b2+c2=38 find a(b2+c2)+b(c2+a2)+c(a2+b2)+3abc
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Step-by-step explanation:
a + b + c = 8
Doing square both side
(a + b + c)² = 64
a² + b² + c² + 2(ab + bc + ca) = 64
30 + 2(ab + bc + ca) = 64
2(ab + bc + ca) = 34
ab + bc + ca = 17
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