Question

Evaluate the following:

(ii) $(98{)}^3$

Answer 1

Given, $(98{)}^3$

$=(100-2{)}^3$

Using Identity,
$(a-b{)}^3=a^3-b^3-3ab(a-b)$

$\therefore (100-2{)}^3$

$={100}^3-2^3-3\times 100\times 2(100-2)$

$=1000000-8-600\left(98\right)$

$=1000000-8-58800$

$=941192$

$\therefore (98{)}^3=941192$