Question

Evaluate using suitable Identities

${(99)}^{3}$
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Answer 1

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${(99)}^{3}$

${(99 + 9)}^{3}$

$\large\red {Using Identity}$

$\rm\red {{(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy (x + y)}$

${90}^{3} + {9}^{3} + 3 \times 90 \times 9(90 + 9)$

$729000 + 729 + 2430 \times 99$

$729000 + 729 + 240570$

$970299$

hope it helps you....✌✌

Answer 2

Answer:

970299

Step-by-step explanation:

99³ = (100 - 1)³

Use this identity :

( a - b )³ = a³ - b³ - 3ab(a - b)

Applying it...

(100 - 1)³ = (100)³ - 1³ - 3 * ( 100 ) * ( 1 ) (100 - 1)

= 1000000 - 1 - ( 300 * 99 )

= 1000000 - 1 - 29700

= 970299

Hope it helped...

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