moalnamer
contestada

Emma, Steve, Maria, and George are comparing the solution of a math assignment problem below.

Select the student who correctly subtracted the rational expressions.

Emma Steve Maria and George are comparing the solution of a math assignment problem below Select the student who correctly subtracted the rational expressions class=

Respuesta :

TheAakash
Steve did it perfectly, because he got the common denominator first, then expanded and subtracted.

Answer:

A. Steve

Step-by-step explanation:

We are given the expression, [tex]\frac{1}{x-1}-\frac{3}{x^{2}+2x-3}[/tex].

So, upon simplifying the expression, we get,

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

implies [tex]\frac{1}{x-1}-\frac{3}{(x-1)(x+3)}[/tex]

i.e. [tex]\frac{1(x+3)-3}{(x-1)(x+3)}[/tex]

i.e. [tex]\frac{x+3-3}{(x-1)(x+3)}[/tex]

i.e. [tex]\frac{x}{(x-1)(x+3)}[/tex]

So, from the options, we see that,

Steve has correctly subtracted the rational expressions.

Thus, option A is correct.