Respuesta :

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

    [tex]\frac{3x}{x + 2} \frac{x}{x - 1}[/tex]

Process

To solve this problem just multiply the numerator by the numerator and the denominator by the denominator. If is possible, simplify the result.

[tex]\frac{3x}{x + 2} \frac{x}{x - 1}[/tex]

Multiply the numerators       (3x)(x) = 3x²

Multiply the denominators   (x + 2)(x - 1) = x² + x - 2

- Join the results                    [tex]\frac{3x^{2}}{x^{2} + x - 2}[/tex]

Answer:

[tex]\frac{3x^{2} }{x^{2} +x-2}[/tex]

Step-by-step explanation:

Multiply the numerators.

[tex]3x[/tex] × [tex]x[/tex]

[tex]3x^{2}[/tex]

Multiply the denominators.

[tex](x+2)[/tex] × [tex](x-1)[/tex]

(Use F.O.I.L. - First, Outside, Inside, Last)

[tex](x+2)[/tex] × [tex](x-1)[/tex]

[tex]x^{2} -x+2x-2[/tex]

[tex]x^{2} +x-2[/tex]

Put the numerator and denominator together.

[tex]\frac{3x^{2} }{x^{2} +x-2}[/tex]

~Hope this Helps!~