# Evaluate of the Following: (98)3 - Mathematics

Evaluate of the following:

(98)3

#### Solution

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

Given (98)^3

In order to find  (98)^3we 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