Posted by **shay** on Thursday, July 21, 2011 at 7:16pm.

Essay. Show all work. Find the quotient.

49a^2-b^2

---------

7a-b

- algebra -
**bobpursley**, Thursday, July 21, 2011 at 8:34pm
factor the numerator, it is a difference of squares

- algebra -
**shay**, Thursday, July 21, 2011 at 9:03pm
please get into more detail more for me to understand Algebra is one my weakest subjects

- algebra -
**Ms. Sue**, Thursday, July 21, 2011 at 10:00pm
These sites will help you understand this problem and its solution.

http://www.purplemath.com/modules/factquad.htm

http://www.purplemath.com/modules/specfact.htm

http://www.youtube.com/watch?v=wvFr1BqU4g8

- algebra -
**shay**, Thursday, July 21, 2011 at 11:38pm
plz help me

- Algebra -
**Mithra**, Friday, July 22, 2011 at 8:35am
Here is an example:

9x^2 - 25y^2

------------

3x - 5y

Factor the numerator, its a difference of perfect squares.

9x^2 - 25y^2 = (3x - 5y) (3x + 5y)

(3x - 5y)(3x + 5y)

(3x)(3x) = 9x^2

(3x)(5y) = 15xy

(-5y)(3x)= -15xy

(-5y)(5y)= -25y^2

9x^2 + 15xy - 15xy -25y^2

9x^2 -25y^2 = (3x - 5y)(3x + 5y)

---------------------------------

9x^2 - 25y (3x - 5y)(3x +5y)

---------- = ---------------- = 3x +5y

3x - 5y 3x - 5y

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