Question

evaluate (998)3cube using suitable identity

Answer 1

$\: \: \: \: \: {998}^{3} \\ = {(1000 - 2)}^{3} \\ = {(1000)}^{3} - 3 \times {(1000)}^{2} \times 2 + 3 \times 1000 \times {(2)}^{2} - {(2)}^{3} \\ using \: the \: identity \: {(a - b)}^{3} \\ = 1000000000 - 6000000 + 12000 - 8 \\ = 994011992$

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