If $(a + b = 3)$ , then what is the value of $(a^{3} + b^{3} + 9 a b)$ ?

18

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27

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81

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Cannot be determined due to insufficient data

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Solution

The correct option is B $27$
$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$∴ a^{3} + b^{3} + 3 a b \times 3 = 3^{3} = 27$

Suggest Corrections

Similar questions

a = 3 + b

a^{3} - b^{3} - 9 a b

a + b = 9 a b = 14

a^{3} + b^{3} =

a + b + c = 9

(3 - a)^{3} + (3 - b)^{3} + (3 - c)^{3} - 3 (3 - a) (3 - b) (3 - c)

\frac{a}{b} = \frac{5}{3},

\frac{a^{3} - b^{3}}{b^{3}} .

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