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RATIONAL EXPRESSIC MS Scarenget thant Simplify: (2x^4+2x^2)/(8x^3)+8x

Pergunta

RATIONAL EXPRESSIC MS
Scarenget thant
Simplify:
(2x^4+2x^2)/(8x^3)+8x

RATIONAL EXPRESSIC MS Scarenget thant Simplify: (2x^4+2x^2)/(8x^3)+8x

Solução

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RobertElite · Tutor por 8 anos

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To simplify the given rational expression, we can factor out common factors in the numerator and denominator.<br /><br />The numerator is $2x^4 + 2x^2$, which can be factored as $2x^2(x^2 + 1)$.<br /><br />The denominator is $8x^3 + 8x$, which can be factored as $8x(x^2 + 1)$.<br /><br />Now, we can cancel out the common factors in the numerator and denominator:<br /><br />$\frac{2x^2(x^2 + 1)}{8x(x^2 + 1)} = \frac{2x^2}{8x} = \frac{x}{4}$<br /><br />Therefore, the simplified form of the given rational expression is $\frac{x}{4}$.
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