simplificar (x^2+8x+15)/(x^2-9)

Solução

simplificar

\frac{x ^{2} + 8 x + 15}{x ^{2} - 9}

\frac{x + 5}{x - 3}

Passos da solução

\frac{x ^{2} + 8 x + 15}{x ^{2} - 9}

Fatorar

x^{2} + 8 x + 15 : (x + 3) (x + 5)

= \frac{( x + 3 ) ( x + 5 )}{x ^{2} - 9}

Fatorar

x^{2} - 9 : (x + 3) (x - 3)

= \frac{( x + 3 ) ( x + 5 )}{( x + 3 ) ( x - 3 )}

Eliminar o fator comum:

x + 3

= \frac{x + 5}{x - 3}

\frac{67}{2}

\frac{1}{\frac{1}{27}}

\frac{tan ( x )}{sec ^{2} ( x )}

\frac{256}{2} - \frac{4096}{48}

5243