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Algebraic Identities

Factorize the...

Question

Factorize the following expression
$m^{3} + 8$

(m + 2) (m^{2} - 2 m + 4)

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(m - 2) (m^{2} - 2 m + 4)

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(m + 2) (m^{2} + 2 m + 4)

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None of these

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Solution

The correct option is A $(m + 2) (m^{2} - 2 m + 4)$
$m^{3} + 8$

$= m^{3} + 2^{3}$

Using $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$

$= (m + 2) (m^{2} - 2 m + 4)$

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