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
again, your lack of brackets make the question ambiguous.
The way you typed it ...
why would you write y/1 that would simply be y
so you really have:
(y+1)(y - y^2)
= y^2 - y^3 + y - y^2
= -y^3 + y
if you meant:
(y+1)(y/(1-y^2)
= y(y+1)/((1-y)(1+y) )
= y/(1-y) , y ≠ -1
how do you do it
To simplify the expression (y+1)(y/1-y^2), we can follow these steps:
Step 1: Factorize the denominator (1-y^2) as (1+y)(1-y).
Step 2: Rewrite the expression using the factored denominator: (y+1)(y/(1+y)(1-y)).
Step 3: Cancel out any common factors between the numerator and the denominator.
Now let's simplify it:
Step 1: The denominator (1+y)(1-y) can be rewritten as (1-y)(1+y).
Therefore, the expression becomes: (y+1)(y/(1-y)(1+y)).
Step 2: Now, we'll cancel out any common factors:
The (y+1) term in the numerator can cancel out with the (1+y) term in the denominator since they are the same.
The expression now simplifies to: y/(1-y).
So the simplified expression is y/(1-y).
Now, let's check which answer choice matches the simplified expression:
A. Y/y-1 (This doesn't match the simplified expression)
B. y/1-y (This matches the simplified expression)
C. y+1/y-1 (This doesn't match the simplified expression)
D. -1 (This doesn't match the simplified expression)
Therefore, out of the given answer choices, the correct answer is B. y/1-y.