Question

evaluate 998 to the power of 3 using suitable identity

Answer 1

${998}^{3}$
${(1000 - 2)}^{3}$
${(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)$
${1000}^{3} - {2}^{3} - 3 \times 1000 \times 2(1000 - 2)$
$1000000000 - 8 - 6000(998)$
$1000000000 - 8 - 5988000$
$994011992$