Question

The value of ${102}^3$ is

• A. $1061208$
• B. $10011208$
• C. $1820058$
• D. $noneofthese$

Answer 1

The correct option is A $1061208$

${\left(102\right)}^3={(100+2)}^3$

Applying

${(a+b)}^3=a^3+b^3+3ab(a+b)$

$\therefore {\left(102\right)}^3={\left(100\right)}^3+2^3+3\times 100\times 2(100+2)$

$\therefore {\left({10}^2\right)}^3=1000000+8+600\left(102\right)$

$\therefore {\left({10}^2\right)}^3=1000008+61200$

$\therefore {\left({10}^2\right)}^3=1061208$