Question

Using suitable identity, find the value of ${101}^3$.

• A. 1030300
• B. 1030301
• C. 1030311
• D. 1030321

Answer 1

The correct option is B 1030301

Using the identity,
$(a+b{)}^3=a^3+b^3+3ab(a+b)$,

$\Rightarrow$ ${101}^3$ $=(100+1{)}^3$

$={100}^3+1^3+3\times 100\times 1(100+1)$

$=1000000+1+10100$

$=1030301$