Question

divide x power 4 - 16 by x - 2​

Answer 1

Step-by-step explanation:

$\frac{ {x}^{4} - 16 }{x - 2} \\ \\ = \frac{ ({ {x}^{2} })^{2} - { ({4}^{2} })^{2} }{x - 2} \\ \\ = \frac{ ({x}^{2} + 4)( {x}^{2} - 4) }{x - 2} \\ \\ = \frac{ ({x}^{2} + 4) (x + 2)(x - 2)}{(x - 2)} \\ \\ = ( {x}^{2} + 4)(x + 2)$

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