Question

Evaluate:${\left(103\right)}^3$

Answer 1

According to the equation,
$(a+b{)}^3=a^3+b^3+3ab(a+b)$
we get,
$(103{)}^3$$=(100+3{)}^3$

By using the formula,
$={100}^3+3^3+3\left(100\right)\left(3\right)(100+3)$
$=1000000+27+900\left(103\right)$
On further calculation,
$=1000000+27+92700$
$(103{)}^3=1092727$