Question

A.) x+7/x-1
B.) x+1/x+7
C.) x-1/x+7

Answer 1

C)

Explanation:

When you have a*b/c*a, a crosses out, simplifying to b/c:

(x+1)(x-1)/

(x+1)(x+7)

When "crossing out", you are really just simplifying it to 1/1:

1*(x-1)/

1*(x+7)

Which is the same as:

(x-1)/(x+7)

Therefore, C is the correct answer

Answer 2

C

Explanation:

If there is an expression such as:

`(A*B)/(A*C)`

we can cancel out A from top and bottom and that will leave us with
`(B)/(C)`

Note: Let A, B, C, be any algebraic expression

For the problem given, we can simply cut (x+1) from top and bottom by rules of algebra. So the remaining terms are:

`((x-1))/((x+7))`

This is option C