# algebra

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Essay. Show all work. Find the quotient.

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

• algebra -

factor the numerator, it is a difference of squares

• algebra -

please get into more detail more for me to understand Algebra is one my weakest subjects

• algebra -

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

• algebra -

plz help me

• Algebra -

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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