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1. $a^{3} - b^{3} = 36, a - b = 3$

Answer: Option D

Explanation:

{we have, a}^{3} {-b}^{3} =36, a-b=3 we know, a^{3} {-b}^{3} = {(a - b)}^{3} +3ab (a - b) {⇒36=3}^{3} +9ab \Rightarrow 27 + 9 a b = 36 \Rightarrow 9 a b = 36 - 27 \Rightarrow a b = \frac{9}{9} a b = 1

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