Question

Evaluate without directly multiplying $(103{)}^3$.

• A. $10926927$
• B. $1092727$
• C. $1056567$
• D. $1082627$

Answer 1

The correct option is B $1092727$

${\left(103\right)}^3={(100+3)}^3$ is of the form ${(a+b)}^3$

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

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

$=1000000+27+900(100+3)$

$=10,00,000+27+90,000+2,700=10,92,727‬$