Question

Please help as soon as possible 50 points

Answer 1

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

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

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

Answer 2

ANSWER:

On solving expression, we get

$\longrightarrow\sf\frac{3x}{x + 3} + \frac{x - 2}{x}$

$\longrightarrow\sf\frac{{3x}^{2} + {x}^{2} - 2x + 3x - 6 }{(x + 3)x}$

$\longrightarrow\sf\frac{{4x}^{2} + x - 6}{ x(x + 3)}$

So, Correct choice - [D]

$\large\boxed{\sf\frac{{4x}^{2} + x - 6}{ x(x + 3)}.}$