Question

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

Answer 1

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

Answer 2

Answer:

A. Steve

Step-by-step explanation:

We are given the expression, $\frac{1}{x-1}-\frac{3}{x^{2}+2x-3}$.

So, upon simplifying the expression, we get,

$\frac{1}{x-1}-\frac{3}{x^{2}+2x-3}$

implies $\frac{1}{x-1}-\frac{3}{(x-1)(x+3)}$

i.e. $\frac{1(x+3)-3}{(x-1)(x+3)}$

i.e. $\frac{x+3-3}{(x-1)(x+3)}$

i.e. $\frac{x}{(x-1)(x+3)}$

So, from the options, we see that,

Steve has correctly subtracted the rational expressions.

Thus, option A is correct.