Question

Using suitable identities calculate value of (99)³​
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Answer 1

Answer:

We write 99 = 100-1

(99)3 = (100 - 1)

Using (a - b) = a-b - 3ab(a - b) Where a = 100 & b = 1

= (100)3 - (1)9 - 3(100) (1) (100 - 1)

= 1000000 - 1 - 300(99)

= 1000000-1 - 29700

= 970299

Step-by-step explanation:

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Answer 2

Answer:

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QUESTION :- Using suitable identities calculate value of (99)³

SOLUTION :-

we can write (99)³ as (100-1)³

(99)³ = (100-1)³

➠using identity :- (a-b)³ = a³ - b³ -3ab (a-b)

(99)³ = (100-1)³

= (100)³ - (1)³ -3(100)(1) [100-1]

= 1000000 - 1 -300(99)

= 1000000 - 1 -29700

= 970299

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