Question

Brainliest for whoever gets this correct with working out

Answer 1

Answer:

$\frac{2x - 5}{x + 5}$

Step-by-step explanation:

Firstly, you have to factorize the expressions on the numerator and denorminator :

Numerator :

$2 {x}^{2} - 3x - 5$

$= 2 {x}^{2} + 2x - 5x - 5$

$= 2x(x + 1) - 5(x + 1)$

$= (2x - 5)(x + 1)$

Denorminator :

${x}^{2} + 6x + 5$

$= {x}^{2} + x + 5x + 5$

$= x(x + 1) + 5(x + 1)$

$= (x + 1)(x + 5)$

Next, you have to put the factorized-form in the fraction and cut out the similar expressions :

$\frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)}$

$= \frac{2x - 5}{x + 5}$