a,\(\dfrac{3}{n+3}\)
=>\(3⋮\left(n+3\right)\)
=>\(3\left(n+3\right)-9⋮\left(n+3\right)\)
=>\(-9⋮\left(n+3\right)\)
=>\(n+3\in U\left(-9\right)=\left\{-1;1;3;-3;-9;9\right\}\)
| n+3 | -1 | 1 | 3 | -3 | 9 | -9 |
| n | -4 | -2 | 0 | -6 | 6 | -12 |
vậy \(n\in\left\{-4;-2;0;-6;6;-12\right\}\)
b,\(\dfrac{2n+1}{n-3}\)
=>\(\left(2n+1\right)⋮\left(n-3\right)\)
=>\(2\left(n-3\right)+7⋮\left(n-3\right)\)
=>\(n-3\in U\left(7\right)=\left\{1;-1;-7;+7\right\}\)
| n-3 | 1 | -1 | -7 | 7 |
| n | 4 | 2 | -4 | 10 |
vậy \(n\in\left\{4;2;-4;10\right\}\)
c,\(\dfrac{n+3}{n-2}\)
=>\(n+3⋮\left(n-2\right)\)
=>\(1\left(n-2\right)+5⋮\left(n-2\right)\)
=>\(5⋮\left(n-2\right)\)
=>\(n-2\in U\left(5\right)=\left\{1;-1;5;-5\right\}\)
| n-2 | 1 | -1 | 5 | -5 |
| n | 3 | 1 | 7 | -3 |
vậy \(n\in\left\{3;1;7;-3\right\}\)
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