Question

Evaluate of the following: 

 (598)³

Answer 1

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.