Respuesta :

Answer:

option B

[tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

Given in the question an expression

[tex]\frac{(x-1)(x+5)}{(x-2)(x-1)}[/tex]

The term (x-1) will be cancel out from both, denominator and numerator so we will be left with

[tex]\frac{x+5}{x-2}[/tex]

Answer:

B. [tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

The given rational expression is;

[tex]\frac{(x-1)(x+5)}{(x-2)(x-1)}[/tex]

Where [tex]x\ne2\:or\;1[/tex]

Observe that;

[tex](x-1)[/tex] is common to both the numerator and the denominator.

Cancel it out to obtain;

[tex]\frac{(x+5)}{(x-2)}[/tex]

The correct choice is B.