Question : If $(a-b)=9$, and $(a^3-b^3)$ = 4401, find the value of $ab$.
Option 1: 190
Option 2: 112
Option 3: 162
Option 4: 136
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Correct Answer: 136
Solution : Given: $(a-b)=9$ and $\left(a^3-b^3\right)=4401$ Taking, $(a-b)=9$ Cubing both sides, we get, $⇒a^3-b^3-3ab(a-b)=729$ $⇒4401-3ab(9)=729$ $⇒27ab=4401-729$ $⇒ab=\frac{3672}{27}=136$ Hence, the correct answer is 136.
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