Respuesta :

Answer:

A

Step-by-step explanation:

Factor, where possible the numerators/ denominators

x² + x = x(x + 1) ← common factor of x

We can express the division as multiplication by leaving the first fraction and turning the second fraction upside down, that is

[tex]\frac{2x-1}{x+1}[/tex] × [tex]\frac{x(x+1)}{3x^2}[/tex]

Cancel the factor x and x + 1 on the numerator/denominator leaving

[tex]\frac{2x-1}{3x}[/tex] → A

Answer:

(2x - 1) / 3x.

Step-by-step explanation:

2x - 1 / (x + 1)  /   3x^2 / (x^2 + x)

Invert the second fraction and multiply:

= (2x - 1) / (x + 1)  * (x^2 + x) / 3x^2

= (2x - 1 ) / (x + 1)  * x(x + 1) / 3x^2

= x(x + 1)(2x - 1) /  3x^2(x + 1)

x(x + 1) is common to top and bottom of the fraction so we divide both be x(x + 1) to give:

(2x - 1) / 3x  (answer).

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