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Rational expressions

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Rational expressions

2y+1/y^2-y-6

A^2-b^2/a-b

4x^2/2*9

-2x-8/x^2+2x-8

3/a^2+a/2a+2/6

-2a^2/3a^2*20a/15^3

w-1/(w-1)*w-1/w^2+2w+1

-7yt/3x=?/18xyt

4/x-4,5x/2y-2x

4/9-1/9

a+7/a-4+9-5a/a-4

y/4+2y

3/x+1-4/5x+5

2/x-3+3/3-x

1/9+1/3x/x/9-1/x

4ab^5/a+b/6a2b^4

x/3=4/x+1

5/y-3=y+7/2y-6+1

-3/x=x/-3

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This provides several examples of solving rational expressions

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Please see attached file.
I have also copied the answers here:

2y+1/y^2-y-6
I will assume this is (2y+1)/(y^2-y-6)
First factor the denominator: (y+3)(y-2)
Since there is no common term, this is already simplified.

A^2-b^2/a-b
I will assume this is (a^2-b^2)/(a-b)
First factor the numerator: (a+b)(a-b)
There is an a-b in both numerator and denominator, so this becomes
(a+b)/1=a+b

4x^2/2*9
2*9=18 so we have (4x^2)/18
Divide top and bottom by 2
2x^2/9

-2x-8/x^2+2x-8
Factor numerator: ...

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