Question

Evaluate (using factors) : ${301}^2\times 300-{300}^3$.

Answer 1

${301}^2\times 300-{300}^3=300({301}^2-{300}^2)$
Applying the formula
$a^2-b^2=(a+b)(a-b)$, where $a=301,b=300$
${301}^2\times 300-{300}^3=300({301}^2-{300}^2)$
$=300(301+300)(301-300)$
$=300\times 601\times 1=180300$