Question

Factories
$162 - 8t {?}^{2}$
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Answer 1

Answer : 2(9+2t)(9-2t)

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Solution :

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Given that :

$162 - 8 {t}^{2} \\ \\ = > 2(81 - 4 {t}^{2} ) \\ \\ = > 2[ {(9)}^{2} - {(2t)}^{2} ] \\ \\ = > 2(9 + 2t)(9 - 2t)$

As we know that :

a²-b² = (a+b)(a-b)

Here a = 9 and b = 2t