Question

(99)3
$(99)3$
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Answer 1

I think you've asked the question: 99³

So the answer for that is:

☆ (99)³

= (100-1)³

= (100)³- (1)³ - 3(100)²(1) + 3(100)(1)²

= 1000000 - 1 - 30000 + 300

= 970299

Therefore, (99)³ = 970299.

$\orange{\tt {Hope\: this\: helps\: you}}$ ❤

Answer 2

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$(a + b) {}^{3} = {a}^{3} + {b}^{3} + 3ab \: (a + b ) \\(a - b) {}^{3} = a {}^{3} - b {}^{3} - 3ab(a - b)$

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$(99) {}^{3} = (100 - 1) {}^{3} \\ \\ \\ = (100) {}^{3} - (1) {}^{3} - 3(100)(1)(100 - 1) \\ \\ \\ = 1000000 - 1 - 300(99) \\ \\ \\ = 1000000 - 1 - 29700 \\ \\ \\ \boxed { = 970299}$