Essay. Show all work. Find the quotient.

49a^2-b^2
---------
7a-b

5 answers

factor the numerator, it is a difference of squares
please get into more detail more for me to understand Algebra is one my weakest subjects
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
plz help me
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