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1. $a^{3} + b^{3} = 16$

Answer: Option D

Explanation:

a^{3} + b^{3} = 16 \Rightarrow {(a + b)}^{3} - 3 a b (a + b) = 16 \Rightarrow 4^{3} - 3 a b . 4 = 16 \Rightarrow 64 - 12 a b = 16 \Rightarrow - 12 a b = - 48 \Rightarrow a b = \frac{- 48}{- 12} ∴ a b = 4 a n s

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