Simplify the following rational expression

The simplified expression is

(2x² + x + 15)/(x + 3)(x - 2)

Step-by-step 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)

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step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic