Respuesta :

Answer:

[tex] \frac{7x + 19}{ {x}^{2} + 6x + 5 } [/tex]

Step-by-step explanation:

[tex] \frac{7x + 19}{(x + 1)(x + 5)} [/tex]

Multiply each term in the first parentheses by each term in second parentheses ( FOIL)

[tex] \frac{7x + 19}{x(x + 5) + 1(x + 5)} [/tex]

Calculate the product

[tex] \frac{7x + 19}{ {x}^{2} + 5x + x + 5} [/tex]

Collect like terms

[tex] \frac{7x + 9}{ {x}^{2} + 6x + 5 } [/tex]

Hope this helps...

Best regards!!