SOLUTION: i have a few questions. It mostly relates to adding and subtracting fractions with some multiplication. i says to simplify, but it is hard for me. HELP!!! I'll provide the problem/

Question 118604This question is from textbook Algebra: structure and Method: book 1
: i have a few questions. It mostly relates to adding and subtracting fractions with some multiplication. i says to simplify, but it is hard for me. HELP!!! I'll provide the problem/answers (because they are in the back of the book)like this. equation= answer
33. 2/x-3 + 4/x+3 = 6(x-1)/(x-3)(x+3)
35. 4/x+1 - 1/x-2 = 3(x-3)/(x+1)(x-2)
37. 2y/(y-5)(y+5) - y/y-5 = -y(y+3)/(y-5)(y+5)
39. x/x+y + y/x-y = x^2 + y^2/(x+y)(x-y) This question is from textbook Algebra: structure and Method: book 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to help you get started.

#33

Start with the given expression

Since the denominators are not equal, we need to get them to a common denominator. Since the LCD is , we need to get each denominator to

Multiply by

Combine the fractions

Multiply by

Combine the fractions

Since the 2 fractions have the common denominator , we can combine them. In order to do that, just combine the numerators.

Distribute

Combine like terms

Now factor out the GCF 6 from the numerator

So simplifies to

#35

Start with the given expression

Since the denominators are not equal, we need to get them to a common denominator. Since the LCD is , we need to get each denominator to

Multiply by

Combine the fractions

Multiply by

Combine the fractions

Since the 2 fractions have the common denominator , we can combine them. In order to do that, just combine the numerators.

Distribute

Combine like terms

Factor out 3 from the numerator

So simplifies to
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