SOLUTION: Add or subtract as indicated, Simplify. Show factoring, cancelling, and the steps to finding the lowest common denominator. (Assume that no denominator is 0.) (x+5)(2)/x(2)

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Question 349727: Add or subtract as indicated, Simplify. Show factoring, cancelling, and the steps to finding the lowest common denominator. (Assume that no denominator is 0.)

(x+5)(2)/x(2)+2x-15 + 2/4x-12
I really need help very soon, I am stuck and don't even know where to begin. Thank you! :)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Break up the first numerator


Factor the first denominator.


Highlight the common terms.


Cancel out the common terms.


Simplify


Factor the second denominator.


Take note that the LCD is . So we need to get every denominator equal to the LCD so we can add the fractions.


Multiply the first fraction by to get that fraction to have the denominator equal to the LCD.


Distribute.


Add the fractions.


Combine like terms.


Factor out a '2' from the numerator.


Factor out a '2' from the denominator.


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to


In other words,


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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