Question

Simplify the following rational expression

Answer 1

Explanation:

as the denominator (x+3) is in both you need only one denominator to be multiplied in first rational number .

2x (x-2). + 5.

(x+3) (x-2). (x+3) (x-2)

2x^2-4x +5

(x+3) (x-2)

it's cannot be solved after that.

Answer 2

Answer: The simplified expression is

(2x² + x + 15)/(x + 3)(x - 2)

Explanation:

The given expression is

2x/(x+ 3) + 5/(x + 3)(x - 2)

Looking at the denominator, the Lowest common factor is (x + 3)(x - 2). Multiplying through by (x + 3)(x - 2), it becomes

[2x(x - 2) + 5(x + 3)]/(x + 3)(x - 2)

We would simplify by applying the distributive property. Each term inside the bracket is multiplied by each term outside the bracket. It becomes

[2x² - 4x + 5x + 15)]/(x + 3)(x - 2)

= (2x² + x + 15)/(x + 3)(x - 2)