SOLUTION: Hi! Please help. Can you include steps so I can do it myself in the future? Thanks! Simplify the following expression. 3/2x+1 - x+1/4x^2-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi! Please help. Can you include steps so I can do it myself in the future? Thanks! Simplify the following expression. 3/2x+1 - x+1/4x^2-1      Log On


   

Question 429571: Hi! Please help. Can you include steps so I can do it myself in the future? Thanks!
Simplify the following expression.
3/2x+1 - x+1/4x^2-1
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:3%2F%282x%2B1%29-%28x%2B1%29%2F%284x%5E2-1%29=, (Step 1: Factor the denominator).
3%2F%282x%2B1%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29=, (Step2: Find LCD and not allowed values of x.)
The LCD is (2x+1)(2x-1)=0, 2x+1=0 => x=-1/2 and 2x-1=0 => x=1/2
%283%282x-1%29%2F%282x%2B1%29%282x-1%29%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29=,( Multiply the numerator and
denominator of the first term by (2x-1)).
%283%282x-1%29-%28x%2B1%29%29%2F%282x-1%29%282x%2B1%29=( As sum of terms with same denominator).
%286x-3-x-1%29%2F%284x%5E2-1%29=, (Using distributive property.Combine like terms.)
%285x-4%29%2F%284x%5E2-1%29.
Done.