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.

Question

Mathematics

Frederick Lutz

23 December, 15:22

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.

+5

Answers (1)

Know the Answer?

Macie Hanson · Answer 1

Option B is Correct.

Step-by-step explanation:

In step 1 the denominator of first term is (x-2) (x-3) and that of second term is x+3.

in order to make common denominator we have to multiply first term by x+3 both in numerator and denominator and second term is multiplied by x-2) (x-3)

both in numerator and denominator