Question

Factorise (7x+19)/(x+1)(x+5)​

Answer 1

Answer:

$\frac{7x + 19}{ {x}^{2} + 6x + 5 }$

Step-by-step explanation:

$\frac{7x + 19}{(x + 1)(x + 5)}$

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

$\frac{7x + 19}{x(x + 5) + 1(x + 5)}$

Calculate the product

$\frac{7x + 19}{ {x}^{2} + 5x + x + 5}$

Collect like terms

$\frac{7x + 9}{ {x}^{2} + 6x + 5 }$

Hope this helps...

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