29^3 11^3 =(20+9)^3 (20 9)^3 =2(9^3+3× 20^2× 9) =2(729+10800) =1458+21600 =23058 ...

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Cube Numbers

Evaluate : 2...

Question

Evaluate :
$29^{3} - 11^{3}$

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Solution

$29^{3} - 11^{3}$
$= (20 + 9)^{3} - (20 - 9)^{3}$
$= 2 (9^{3} + 3 \times 20^{2} \times 9)$
$= 2 (729 + 10800)$
$= 1458 + 21600$
$= 23058$

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