SOLUTION: x+1 - x^2 x+3 x^2 + 4x+3 Question reads : X+1 over x+3 -(minus) x^2 over x^2 + 4x + 3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x+1 - x^2 x+3 x^2 + 4x+3 Question reads : X+1 over x+3 -(minus) x^2 over x^2 + 4x + 3      Log On


   

Question 167594: x+1 - x^2
x+3 x^2 + 4x+3
Question reads : X+1 over x+3 -(minus) x^2 over x^2 + 4x + 3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Question reads : X+1 over x+3 -(minus) x^2 over x^2 + 4x + 3
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[(x+1)/(x+3)] - [x^2/(x^2+4x+3)]
= [(x+1)/(x+3)] - [x^2/((x+3)(x+1))]
lcd = (x+3)(x+1)
Rewrite each fraction with the lcd as its denominator:
= (x+1)^2/lcd - x^2/lcd
Combine the numerators over the lcd
= [(x+1)^2 - x^2]/lcd
= [2x+1]/[(x+1)(x+3)]
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Cheers,
Stan H.