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check math

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Here are my answers. Can you check if I got the right answers? Thank you!

1/(x+h) - 1/x= -h/(x^2+xh)
(2/x^2)/(10/x^5)= (x^3)/5
[1/(3+x) - 1/3]/x= -1/(9+3x)
2x/(x^2-6x+9) - 1/(x+1)- 8/(x^2-2x-3)= (x^2+15)/(x^3-5x^2+3x+9)

first 3 look ok

In the last one I would not have expanded the denominator, leave it as


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