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Step-by-step explanation:
Y= a^3 +b^3 +c^3 - 3abc
(a+ b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ab)
15^2 = 83 + 2(ab + bc + ab)
(15^2 – 83) / 2 = ab + bc + ab
(a + b + c)^3 = a^3 + b^3 + c^3 - 3abc + 3 (a^2*b + a*b^2 + a^2*c + a*c^2 + b^2*c + b*c^2 + 3abc)
(a + b + c)^3 = Y + 3 (a + b + c)(ab + bc + ac)
15^3 = Y + 3(15)((15^2 – 83) /2)
Y = 15^3 - 3(15)((15^2 - 83) /2)
Y = 15^3 - 45*71
Y = 45 (75–71)
Y = 45*4
Y = 180
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Answer is 180
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