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Factors of a³ - b³

Factorize the...

Question

Factorize the following expression:

$x^{5} - 16 x^{3}$

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Solution

Given: $x^{5} - 16 x^{3}$

$∴ x^{5} - 16 x^{3}$
$= x^{3} (x^{2} - 16)$
$= x^{3} (x^{2} - 4^{2})$

Using the formula , $(a^{2} - b^{2}) = (a - b) (a + b)$

$= x^{3} (x + 4) (x - 4)$

Hence, $x^{5} - 16 x^{3} = x^{3} (x + 4) (x - 4)$

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Find the common factors of the terms

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Factors of a³ - b³

Standard VIII Mathematics

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