Question

(998)^3
Evaluate it using suitable identities

Answer 1

998^3=994011992 is the right answer

Answer 2

${(998)}^{3}$

$= {(1000 - 2)}^{3}$

$= {(1000)}^{3} - {(2)}^{3} - 3 \times {1000}^{2} \times 2 + 3 \times 1000 \times {2}^{2}$

$= 1000000000 - 8 - 6000000 + 12000$

$= 994,011,992$

So, the answer is 994,011,992.

Identity used here:-

$(x - y)^{3} = {x}^{3} - {y}^{3} - 3 {x}^{2} y + 3x {y}^{2}$