SOLUTION: Add and simplify 5x 2 ------+ ------- x+2 x2+4x+4 the x 2 is x squared thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Add and simplify 5x 2 ------+ ------- x+2 x2+4x+4 the x 2 is x squared thank you      Log On


   

Question 149905: Add and simplify
5x 2
------+ -------
x+2 x2+4x+4
the x 2 is x squared
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29 Start with the given expression.


%285x%29%2F%28x%2B2%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 Factor x%5E2%2B4x%2B4 to get %28x%2B2%29%28x%2B2%29


Multiply the first fraction by %28x%2B2%29%2F%28x%2B2%29


%285x%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 Combine the fractions.


%285x%5E2%2B10x%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 Distribute.


%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%28x%2B2%29%29 Since the denominators are equal, we can combine the numerators over the common denominator.


%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%29 Simplify.



So %285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29 simplifies to %285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%29


In other words, where x%3C%3E-2