If $m = 3$ and $n = 2$ . Find the value of $9 m^{2} - 10 n^{3}$

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Solution

In the given algebraic expression $9 m^{2} - 10 n^{3}$ , we substitute $m = 3$ and $n = 2$ as shown below:

$9 m^{2} - 10 n^{3} = 9 (3)^{2} - 10 (2)^{3} = (9 \times 9) - (10 \times 8) = 81 - 80 = 1$

Hence, $9 m^{2} - 10 n^{3} = 1$ .

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