Resolver a^2-a-12/2a^2+adiv16-a^2/2a^2+9a+4

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Polynomial

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Copiado para a área de transferência

\frac{\left(a^{2}-a-12\right)\left(2a^{2}+9a+4\right)}{\left(2a^{2}+a\right)\left(16-a^{2}\right)}

Divida \frac{a^{2}-a-12}{2a^{2}+a} por \frac{16-a^{2}}{2a^{2}+9a+4} ao multiplicar \frac{a^{2}-a-12}{2a^{2}+a} pelo recíproco de \frac{16-a^{2}}{2a^{2}+9a+4}.

\frac{\left(a-4\right)\left(a+3\right)\left(a+4\right)\left(2a+1\right)}{a\left(a-4\right)\left(-a-4\right)\left(2a+1\right)}

Fatorize as expressões que ainda não foram fatorizadas.

\frac{-\left(a-4\right)\left(-a-4\right)\left(a+3\right)\left(2a+1\right)}{a\left(a-4\right)\left(-a-4\right)\left(2a+1\right)}

Extraia o sinal negativo em 4+a.

\frac{-\left(a+3\right)}{a}

Anule \left(a-4\right)\left(-a-4\right)\left(2a+1\right) no numerador e no denominador.

\frac{-a-3}{a}

Expanda a expressão.