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Algebra/can someone help me please, rational expressions and equations

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Question
Solve:

1.) x/3-1/4=3x-8/12

2.) Simplify
x+2/x/x-2/3x

3.)solve
x/7-1/2=x-11/2

4.) add, express in simpliest form
3y/y^2+5y+4 + 2y/y^2-1

5.) simplify
1+2/3  / 2+1/2

6.) write in simpliest form 48a^5b/12ab^2

7.) add, write in simpliest form
x-13/x^3-x-12  + 3x-3/x^2-x-12

8.) multiply
n^2-n-20/2n^2  X  n^2+5n/n^2-25

Answer
1) multiply each term by 12 to get 4x-3 = 36x-8
so 32x = 5 and x = 5/32
2) [(x+2)/x][3x/(x-2)] = 3(x+2)/(x-2)
3) multiply each term by 14 to get 2x -7 = 14x-77
so 12x = 70 and x = 35/6
4) 3y/[(y+4)(y+1)] +2y/[(y+1)(y-1)] =
[3y(y-1)+2y(y+4)]/[(y+4)(y+1)(y-1)] simplify
5) (5/3)/(5/2) = 2/3
6) 4a^4/b
7) are you sure you mean x^3?
8)[(n-5)(n+4)/(2n^2)][n(n+5)/{(n-5)(n+5)}]
= (n+4)/(2n)

Algebra

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