Factorise $a^{2} b - b^{3}$ . Using this result, find the value of $11^{2} \times 10 - 10^{3}$

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Solution

Factorizing
$a^{2} b - b^{3}$ ,
$= b (a^{2} - b^{2})$
$= b (a - b) (a + b)$
$a = 11, b = 10$
$= 10 (11 - 10) (11 + 10)$
$= 210$

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