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Evaluate of the Following: (98)3 - Mathematics

Answer in Brief

Evaluate of the following:

 (98)3

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Solution

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

Given `(98)^3`

In order to find  `(98)^3`we are using identity `(a-b ) = a^3 - b^3 - 3ab(a-b)`

We can write `(98)^3`  as  `(100 - 2)^3`

Hence where  a= 100 , b = 2

`(98)^3 = (100 - 2)^3`

 ` = (100)^3 - (2)^3 = - 3 (100) (2)(100 - 2)`

` = 1000000 - 8 -600 xx 102`

` = 1000000 - 8 - 58800`

` = 1000000 - 58808`

` = 941192` 

The value of  `(98)^3` is 941192 . 

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.3 | Q 11.2 | Page 20
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