SOLUTION: b-2 /b^2-4 over b^2+b/b+1 Divide and simplify Factor if necessary

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Question 105200: b-2 /b^2-4 over
b^2+b/b+1
Divide and simplify Factor if necessary
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28b-2%29+%2F%28b%5E2-4%29%29%2F%28%28b%5E2%2Bb%29%2F%28b%2B1%29%29
Let's begin by separating and simplifying the numerator and the denominator;
%28b-2%29%2F%28b%5E2-4%29
%28b-2%29%2F%28b-2%29%28b%2B2%29
cross%28b-2%29%2Fcross%28b-2%29%28b%2B2%29=1%2F%28b%2B2%29
Now the denominator;
%28b%5E2%2Bb%29%2F%28b%2B1%29
%28b%28b%2B1%29%29%2F%28b%2B1%29
%28b%29cross%28b%2B1%29%2Fcross%28b%2B1%29=b%2F1
Now lets divide the two'
%281%2F%28b%2B2%29%29%2F%28b%2F1%29
When you divide fractions, you multiply the numerator by the reciprocal of the denominator;
%281%2F%28b%2B2%29%29%2A%281%2Fb%29=%281%29%2F%28b%5E2%2B2b%29
:)