Determine the Least Common Denominator​ (LCD) of the given expression.   w         4w                  w-4_____ - _______ - __________________w-4      4w-1       4w^2 - 17w + 4   I am struggling with fully understanding LCD. Same with factoring. I understand that the answer to this problem is (w-4)(4w-1). What I do not understand is why or how that is the answer. I barely remember any math from high school and it has been a while, so I have forgotten a lot of the basics for algebra. It would be helpful to have a clear, fully written out explanation as to how and why (w-4)(4w-1) is the answer to the problem above. Thank you.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.5: Using The Distributive Property
Problem 47PPS
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Determine the Least Common Denominator​ (LCD) of the given expression.
   w         4w                  w-4
_____ - _______ - __________________
w-4      4w-1       4w^2 - 17w + 4

 

I am struggling with fully understanding LCD. Same with factoring. I understand that the answer to this problem is (w-4)(4w-1). What I do not understand is why or how that is the answer. I barely remember any math from high school and it has been a while, so I have forgotten a lot of the basics for algebra. It would be helpful to have a clear, fully written out explanation as to how and why (w-4)(4w-1) is the answer to the problem above.

Thank you. 

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