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y² - 1
———————
1 - y
First let's arrange the denominator
1 - y
in descending order:
-y + 1
Foctor out -1
-1(y - 1)
Now we have
y² - 1
—————————
-1(y - 1)
Factor the numerator, the difference of two squares
(y - 1)(y + 1)
——————————————
-1(y - 1)
Now when we remove the factor of 1, also called "cancelling
the y-1's", we get:
(y + 1)
———————
-1
or
-(y + 1)
or
-y - 1
Edwin