Q:
Solve the following equations and find the value of abc?

Answer & Explanation
Answer: B) 6
Explanation: From the given equations,
(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
(6)2=14 + 2(ab + bc + ca)
36 - 14 = 2(ab + bc + ca)
22/2 = ab + bc + ca
ab + bc + ca = 11
a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
= (6) (14 - 11)
=(6)(3)
=18
Since, a3 + b3 + c3 - 3abc = 18
36 - 3abc = 18
-3abc = 18 - 36
-3abc = -18
abc = 6.
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