Question

find the difference:
x+1/x-1 - x-8/x-1

A) 9/x-1
B) 2x-7/x-1
C) -7/x-1
D) 2x+9/x-1

Answer 1

The answer is A

Sine you are subtracting,
x-x=o
1- -8 =9 since subtracting a negative is adding a positive.
So the answer is 9/x-1

Answer 2

Answer:

Option 1st is correct

$\frac{9}{x-1}$

Step-by-step explanation:

To find the difference of :

$\frac{x+1}{x-1}-\frac{x-8}{x-1}$

Since, the denominator are same.

⇒LCM = x -1

then;

$\frac{(x+1)-(x-8)}{x-1}$

⇒$\frac{x+1-x+8}{x-1}$

Combine like terms;

⇒$\frac{9}{x-1}$

Therefore, the difference of $\frac{x+1}{x-1}-\frac{x-8}{x-1}$ is, $\frac{9}{x-1}$