SOLUTION: need to simplify the following equation (3-(11/b)-(4/b^2))/((16/b^2)-1)

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Question 879657: need to simplify the following equation (3-(11/b)-(4/b^2))/((16/b^2)-1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%283-%2811%2Fb%29-%284%2Fb%5E2%29%29%2F%28%2816%2Fb%5E2%29-1%29

The main numerator and the main denominator both have simplest common denominator of b%5E2. Multiply the entire fraction by %28b%5E2%2Fb%5E2%29 and this will clear the denominators of the main numerator and main denominator. Continue simplifying from that.

%28%283-%2811%2Fb%29-%284%2Fb%5E2%29%29%2F%28%2816%2Fb%5E2%29-1%29%29%28b%5E2%2Fb%5E2%29

%283b%5E2-11b-4%29%2F%2816-b%5E2%29
From here, you should try to factor both the numerator and the denominator and check for any factor common to both.
... In fact they ARE factorable. Just watch the signs very carefully as you proceed.