simplify: (y+1)(y/1-y^2)

which answer:

A. Y/y-1
B. y/1-y
C. y+1/y-1
D. -1

this is what i got y+1/1* Y/1-y^2=-1

To simplify the expression (y+1)(y/1-y^2), we can follow these steps:

Step 1: Factor the denominator of the second term, y/1-y^2:
The denominator can be factored as the difference of squares: 1-y^2 = (1-y)(1+y).

Step 2: Rewrite the expression with the factored denominator:
(y+1)(y/(1-y)(1+y))

Step 3: Simplify the expression by canceling out common factors between the numerators and denominators:
(y+1)/(1-y)

So, the simplified version of the expression is (y+1)/(1-y).

Now, let's compare the simplified expression to the given answer choices:

A. Y/y-1 - Not the same as the simplified expression.

B. y/1-y - Not the same as the simplified expression.

C. y+1/y-1 - Same as the simplified expression.

D. -1 - Not the same as the simplified expression.

Therefore, the answer is C. y+1/y-1.