Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts's work?

StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction

Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction

Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction

Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction

Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction

In step 1, he did not correctly factor the denominator.

In step 2, he did not use the correct common denominator.

In step 3, he did not distribute the negative sign when he subtracted.

In step 4, he did not correctly subtract the numerator.

Question

Mathematics

Jade Arroyo

20 May, 04:36

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts's work?

StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction

Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction

Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction

Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction

Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction

In step 1, he did not correctly factor the denominator.

In step 2, he did not use the correct common denominator.

In step 3, he did not distribute the negative sign when he subtracted.

In step 4, he did not correctly subtract the numerator.

+5

Answers (1)

Know the Answer?

Molly Mayer · Answer 1

He did not distribute the negative sign when he subtracted.

Step-by-step explanation:

x - (x+1) is equal to a - 1. He did not distribute the negative.