SOLUTION: Essay: MUST show all work. Find the Quotient: 64x^2-100y^2 ----------- 8x+10y Tutors...please show steps...I want to lean this...

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Question 627873: Essay: MUST show all work. Find the Quotient:
64x^2-100y^2
------------
8x+10y
Tutors...please show steps...I want to lean this...
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator is a difference of two squares. To factor the difference of two squares use the pattern a%5E2+-+b%5E2+=+%28a-b%29%28a%2Bb%29. Therefore the factored form of the numerator is %288x-10y%29%288x%2B10y%29. Since the numerator and denominator have common factor 8x%2B10y, we cancel it. The result is 8x-10y.
In symbol: %288x-10y%29%28cross%288x%2B10y%29%29%2F%28cross%288x%2B10y%29%29 = highlight%288x-10y%29