Question

Factorise (7x+19)/(x+1)(x+5)​

Answer 1

`\frac{7x + 19}{ {x}^(2) + 6x + 5 }`

Explanation:

`(7x + 19)/((x + 1)(x + 5))`

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

`(7x + 19)/(x(x + 5) + 1(x + 5))`

Calculate the product

`\frac{7x + 19}{ {x}^(2) + 5x + x + 5}`

Collect like terms

`\frac{7x + 9}{ {x}^(2) + 6x + 5 }`

Hope this helps...

Best regards!!