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If (2x + 3)3 + (x - 8)3 + (x +...

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Algebra
?

If (2x + 3)3 + (x - 8)3 + (x + 13)3 = (2x + 3)(3x - 24)(x + 13), what is the value of x?

Answer & Solution
Correct Answer: Option A
(2x + 3)3 + (x - 8)3 + (x + 13)3 = 3(2x + 3)(x - 8)(x + 13)
a3 + b3 + c3 - 3abc = 0   {If a + b + c = 0}
2x + 3 + x - 8 + x + 13 = 0
4x + 8 = 0
x = -2
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