Question

Find the value of the following by using suitable identity.
$(98{)}^3$

Answer 1

$(98{)}^3$
$=(100-2{)}^3$

$(a-b{)}^3=a^3-b^3-3ab(a-b)$
$=(100{)}^3-(2{)}^3-3\left(100\right)\left(2\right)[100-2]$
$=1000000-8-60000+1200$
$=941192$