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Evaluate of the Following: (598)3 - Mathematics

Answer in Brief

Evaluate of the following: 

 (598)3

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Solution

In the given problem, we have to find the value of numbers

Given (598)3

In order to find (598)3we are using identity `(a-b)^3 = a^3 - b^3 - 3ab (a-b)`

We can write  (598)3 as  `(600 - 2)^3`

Hence where  a = 600 , b = 2

 (598)3 ` = (600 - 2)^3`

` = (600)^3 - (2)^3 - 3(600)(2) (600 - 2)`

` = 216000000 - 8 - 3600 xx 598`

` = 216000000 - 8 - 2152800`

` = 216000000 - 2152808`

` = 213847192`

The value of (598)3 is 213847192.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.3 | Q 11.5 | Page 20
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