a)\(\frac{x-3}{x+17}\Leftrightarrow\frac{x+17-14}{x+17}=\frac{x+17}{x+17}-\frac{14}{x+17}=1-\frac{14}{x+17}\)
=> x+17 thuộc Ư(14)={-1,-2,-7,-14,1,2,7,14}
=> x+17 thuộc {-18,-19,-24,-31,-16,-15,-10,-3}
b) \(\frac{3x-1}{x-6}\Leftrightarrow\frac{3x-18+17}{x-6}\Leftrightarrow\frac{3\left(x-6\right)+17}{x-6}\Leftrightarrow\frac{3\left(x-6\right)}{x-6}+\frac{17}{x-6}=3+\frac{17}{x-6}\)
=> x-6 thuộc Ư(17)={-1,-17,1,17}
=> x thuộc {5,-11,7,23}
c) \(\frac{4y+7}{2y+1}\Leftrightarrow\frac{4y+2+5}{2y+1}\Leftrightarrow\frac{2\left(2y+1\right)+5}{2y+1}\Leftrightarrow\frac{2\left(2y+1\right)}{2y+1}+\frac{5}{2y+1}=2+\frac{5}{2y+1}\)
=> 2y+1 thuộc Ư(5)={-1,-5,1,5}
=> y thuộc {-1,-3,0,2}
d) \(\frac{3y-2}{y+3}\Leftrightarrow\frac{3y+9-11}{y+3}\Leftrightarrow\frac{3\left(y+3\right)-11}{y+3}\Leftrightarrow\frac{3\left(y+3\right)}{y+3}-\frac{11}{y+3}=3-\frac{11}{y+3}\)
=> y+3 thuộc Ư(11)={-1,-11,1,11}
=> y thuộc {-4,-14,-2,8}
