Question

By using the identity, evaluate $(103{)}^3$

Answer 1

$(103{)}^3=(100+3{)}^3$
Using, $(a+b{)}^3=a^3+b^3+3ab(a+b)$
$=(100{)}^3+3^3+3(100\left)\right(3\left)\right(100+3)$
$=1000000+27+900(100+3)$
$=1000000+27+90000+2700$
$=1092727$