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.