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Algebraic Identities

State True or...

Question

State True or False.
$x^{3} - 0.027$ $= (x - 0.3) (x^{2} + 0.3 x + 0.09)$

A

True

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B

False

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Solution

The correct option is A True
We have, $x^{3} - 0.027 = (x)^{3} - (0.3)^{3}$
$= (x - 0.3) [x^{2} + x \times 0.3 + (0.3)^{2}]$
$= (x - 0.3) (x^{2} + 0.3 x + 0.09)$

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