from Vieta's Formulas
a+b+c = -7
ab + ac + bc = 2
abc = -9
Numerator:
(3a-2)(3b-2)(3c-2) = 27abc - 18(ab + ac + bc) + 12(a+b+c) - 8
(3a-2)(3b-2)(3c-2) = 27(-9) - 18(2) + 12(-7) - 8 = -371
Denominator:
(2+3a)(2+3b)(2+3c) = 27abc + 18(ab + ac + bc) + 12(a+b+c) + 8
(2+3a)(2+3b)(2+3c) = 27(-9) + 18(2) + 12(-7) + 8 = -283
Value of the expression: 371 / 283
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Posted by Larry
on 2023-11-06 08:34:13 |
Solution