x^4 16x+2 So x^4 16=(x^2+4)(x^2 4) now x^2 4=(x+2)(x 2) So ( x ^ 2 +4 ) ( x+2 ) ( x 2 ) #160; x+2 =( x ^ 2 +4 ) ( x 2 ) ...

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Multiplication of Rational Expressions

Solve: x4-16...

Question

Solve:
$x^{4} - 16 \div x + 2$

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Solution

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

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