Evaluate the following using suitable identity

1.	Evaluate the following using suitable identity
Answer» Step-by-step EXPLANATION: $\bf \huge \underline{\underline{Question}} \:$ Evaluate the FOLLOWING USING SUITABLE identity $\tt. (99)^{3}$ $\bf \huge \underline{\underline{solution}} \:$ We known that:- $\tt. (a+b)^3=a^3+b^3+3ab(a+b)and(a-b)^3=a^3-b^3-3ab(a-b)$ $\tt \: {99}^{3} = 100 - {1}^{3} \\ \\ \tt {100}^{3} - {1}^{3} \times 100 \times 1 \times 100 - 1$ $\tt. = 1000000 -1 -300(99)$ $\tt. = 1000000 - 1-29700$ $\tt. = 970299$

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Step-by-step EXPLANATION:

$\bf \huge \underline{\underline{Question}} \:$