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Essay. Show all work. find the quotient: 49a^2-b^2 --------- 7a-bAsked by shay
Essay. Show all work. Find the quotient.
49a^2-b^2
---------
7a-b
49a^2-b^2
---------
7a-b
Answers
Answered by
bobpursley
factor the numerator, it is a difference of squares
Answered by
shay
please get into more detail more for me to understand Algebra is one my weakest subjects
Answered by
Ms. Sue
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
http://www.purplemath.com/modules/factquad.htm
http://www.purplemath.com/modules/specfact.htm
http://www.youtube.com/watch?v=wvFr1BqU4g8
Answered by
shay
plz help me
Answered by
Mithra
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
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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