Riley makes a mistake in step 2 while doing her homework. what was her mistake? x/x²-5x+6 step 1: x/(x-2)(x-3) + 3/x+3 step 2: x/(x-2)(x+3) + 3(x-2)/(x-2)(x+3) step 3: x+3x-6/(x-2)(x+3) step 4: 4x-6/(x-2)(x+3) a. she added the two fractions incorrectly. b. she used the wrong common denominator. c. she did not distribute the negative correctly. d. she did not multiply the first fraction by a factor.

We have been given work of Riley. By looking at his work carefully, we have to identify the error. So let's start from beginning.

First line is just the question so there will be no error.

After that we try to factor denominators

STEP1:

Factors are correct so no error in step1.

In step2, we have to find the common denominator which will be (x-2)(x-3)(x+3)

so that means she needs to multiply and divide 2nd term by (x-2)(x-3) while she multiplied by only (x-2). Which means she used wrong common denominator.

Hence final answer will be "B. She used the wrong common denominator."

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