SOLUTION: Please help me simplify: 2y-3/y^2-1 - 4-y/1-y^2

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Question 107658This question is from textbook Intermediate Algebra
: Please help me simplify:
2y-3/y^2-1 - 4-y/1-y^2 This question is from textbook Intermediate Algebra

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%282y-3%29%2F%28y%5E2-1%29+%96+%284-y%29%2F%281-y%5E2%29
%282y-3%29%2F%28y%5E2-1%29+%96+%284-y%29%2F%281-y%5E2%29….1-y%5E2%29 we can write as
-%28-1%2By%5E2%29 or -%28y%5E2+-1%29
%282y-3%29%2F%28y%5E2-1%29 – %284-y%29%2F%281-y%5E2%29


%282y-3%29%2F%28y%5E2-1%29 – %284-y%29%2F%28-%28y%5E2-1%29%29
wher ...%28y%5E2-1%29... is common denominator
%288y-+2y%5E2+-12+%2B+3y%29%2F%28y%5E2-1%29...%28y%5E2-1%29 factors to %28y-1%29%28y%2B1%29
%28-+2y%5E2+%2B+11y+-12+%29%2F%28y-1%29%28y%2B1%29


now we can factor the quadratic %28-+2y%5E2+%2B+11y+-12+%29; it factors to %28-2y+%2B3%29%28y-4%29
then we have
%28-2y+%2B3%29%28y-4%29%2F%28y-1%29%28y%2B1%29