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Algebraic Identities

Factorize eac...

Question

Factorize each of the following expressions :
$x^{3} - 0.027$

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Solution

$x^{3} - 0.027$
$(x)^{3} - (0.3)^{3}$
we know $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$
$\Rightarrow$ (x-0.3) $(x^{2} + 0.3 x + 0.09) .$

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