# Evaluate of the Following: (598)3 - Mathematics

Evaluate of the following:

(598)3

#### 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