k) \(=\dfrac{\left(3x+y\right)\left(9x^2-3xy+y^2\right)}{y\left(3x+y\right)}=\dfrac{9x^2-3xy+y^2}{y}\)
m) \(=\dfrac{\left(x-2\right)\left(x-1\right)}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{x-2}{x^2+x+1}\)
o) \(=\dfrac{x^2\left(x-1\right)-\left(x-1\right)}{\left(x^2-1\right)^2}=\dfrac{\left(x-1\right)\left(x^2-1\right)}{\left(x^2-1\right)\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{1}{x+1}\)
p) \(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)}{x^2\left(x+2\right)-\left(x+2\right)}=\dfrac{\left(x^2-1\right)\left(x^2+1\right)}{\left(x+2\right)\left(x^2-1\right)}=\dfrac{x^2+1}{x+2}\)
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