SOLUTION: <pre>Dividing Algebraic Fractions. I'm having a hard time figuring out how to solve these fractions. Please help. 2x-y 覧覧覧覧 4x<sup>2</sup>-y<sup>2</sup></pre>

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: <pre>Dividing Algebraic Fractions. I'm having a hard time figuring out how to solve these fractions. Please help. 2x-y 覧覧覧覧 4x<sup>2</sup>-y<sup>2</sup></pre>       Log On


   

Question 24380: 
Dividing Algebraic Fractions.  I'm having a hard time figuring out how 
to solve these fractions. Please help.

  2x-y
覧覧覧覧
 4x2-y2
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing Algebraic Fractions. I'm having a hard time figuring out 
how to solve these fractions. Please help. 

  2x-y
覧覧覧覧
 4x2-y2

The denominator is the difference of two perfect squares, which
factors as the product of the difference and sum of the two
quatities which are squared

    2x-y
覧覧覧覧覧覧
 (2x)2-(y)2

    2x-y
覧覧覧覧覧覧
(2x-y)(2x+y)

Now we can cancel the numerator into the denominator:

     1
    2x-y
覧覧覧覧覧覧
(2x-y)(2x+y)
   1     

and we get

      1
  覧覧覧覧
    2x+y

Edwin
AnlytcPhil@aol.com