Question

Simplify this rational expression. 2x^2+5x+3/2x^2-x-3

Answer 1

Answer:

$2x+3$/$2x-3$

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify $2x^{2} +5x+3$

to simplify this we use factorization

$2x^{2} +2x+3x+3$

$2x(x+1) +3(x+1)$

$(2x+3) (x+1)$        .....(1)

2nd step:simplify $2x^{2} -x-3$

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

$2x(x+1)-3(x+1)$

$(2x-3)(x+1)$          .....(2)

now dividing (1) and  (2), we get the answer

$2x+3/2x-3$