SOLUTION: multiply and simplify 4y+4/y^2 x 12y/16y+16

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Question 212903: multiply and simplify
4y+4/y^2 x 12y/16y+16
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284y%2B4%29%2Fy%5E2%29%2A%28%2812y%29%2F%2816y%2B16%29%29+

Factor the first numerator and the second denominator:
%28%284%28y%2B1%29%29%2Fy%5E2%29%2A%28%2812y%29%2F%2816%28y%2B1%29%29%29+

Divide out the factors of 4 and y and (y+1):
%281%2Fy%29%2A%2812%2F4%29+

Divide out the 4 into 12 which leaves 3.

3%2Fy

If you need an informal explanation of Fractions, together with examples, exercises and answers, please see my own website. Do a "Bing" search for my last name "Rapalje" and look for "Rapalje Homepage" near the top of the search list. Click on the link "Basic, Intermediate and College Algebra: One Step at a Time" near the top of my Homepage. Select "Basic Algebra", and look in "Chapter 3" for the chapter on "Fractions". Also, check out my "MATH IN LIVING COLOR" pages on this topic to see solutions to a lot of these problems, IN COLOR of course!

R^2

Dr. Robert J. Rapalje, Retired
Seminole Community College
Altamonte Springs Campus
Florida