Question

Find the value of ${\left(11\right)}^3$ by using suitable identity.

Answer 1

Change the given number ${\left(11\right)}^3$ as ${\left(10+1\right)}^3$.

${\left(10+1\right)}^3={\left(10\right)}^3+{\left(1\right)}^3+3{\left(10\right)}^2\left(1\right)+3\left(10\right){\left(1\right)}^2$

$=1000+1+300+30$

$=1331$

Therefore the value of ${\left(11\right)}^3$ is 1331.