Math, asked by AmarjeetKumarKarn, 1 year ago

find the cube of the 105 by identities

Answers

Answered by abhi569
9
(105)³

=> (100+5)³

Using identity,
(a +b)³=a³+b³+3ab(a+b)

=> (100+5)³=(100)³+(5)³+3(500)(105)

=> (105)³ = 1000000+125+1500(105)

=> (105)³ = 1000000+125 + 157500

=> (105)³ = 1157625

sushant2505: Hi Abhi ! 100³ ≠ 10000 but 100³ = 1000000 :-)
abhi569: Hii.... Wait bro
abhi569: (-:
sushant2505: In next step also ... :-)
sushant2505: and Answer is 1157625 :-)
abhi569: Hahaha.... Edited
sushant2505: Answer ?
abhi569: Didn't understand
sushant2505: Answer is 1157625 .. not 1175625
abhi569: Hehehe.... Is baar :- thanks
Answered by sushant2505
5
Hi,

Here is your answer !
_____________________________

We know that the identity

( a + b )³ = a³ + b³ + 3ab(a + b)

Now, using above identity

105³ = (100 + 5)³

= 100³ + 5³ + 3×100×5 (100 + 5)

= 1000000 + 125 + 1500 × 105

= 1000000 + 125 + 157500

= 1157625

Hence,

105³ = 1157625

sushant2505: Thanks Saniya ;-)
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