Question

evaluate (99)^3 using the formula

Answer 1

Hey friend,
Here is the answer you were looking for:
${(99)}^{3}$

We can write it as

${(100 - 1)}^{3}$

Using formula :

${(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y)$

Putting x = 100
and y = 1

$= {(100)}^{3} - {(1)}^{3} - 3(100)(1)(100 - 1) \\ \\ = 1000000 - 1 - 300(99) \\ \\ = 1000000 - 1 - 29700 \\ \\ = 1000000 - 29701 \\ \\ = 970299$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

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