Evaluate using suitable identities: $(998)^{3}$

994033992

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994011992

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994055992

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994000992

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Solution

The correct option is B $994011992$
We have, $(998)^{3} = (1000 - 2)^{3}$

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

$= 1000000000 - 8 - 6000 (998)$

$= 1000000000 - 8 - 5988000$

$= 994011992$

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Similar questions

(998)^{3}

Evaluate the following using suitable identities:

${(998)}^{3}$ [2 MARKS]

Evaluate the following using suitable identities:
(i) $(99)^{3}$
(ii) $(102)^{3}$
(iii) $(998)^{3}$

(99)^{3}

(102)^{3}

(998)^{3}

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