Question

giúp mk nha =)

Answer 1

a: \(=\dfrac{1}{\left(x-1\right)\left(x-5\right)}-\dfrac{1}{\left(x-1\right)\left(x-6\right)}\)

\(=\dfrac{x-6-x+5}{\left(x-1\right)\left(x-5\right)\left(x-6\right)}=\dfrac{-1}{\left(x-1\right)\left(x-5\right)\left(x-6\right)}\)

b: \(=\dfrac{3}{\left(x-1\right)\left(x+1\right)}-\dfrac{1}{x\left(x-1\right)}-\dfrac{1}{2x\left(x+1\right)}\)

\(=\dfrac{6x}{2x\left(x-1\right)\left(x+1\right)}-\dfrac{2\left(x+1\right)}{2x\left(x-1\right)\left(x+1\right)}-\dfrac{x-1}{2x\left(x+1\right)\left(x-1\right)}\)

\(=\dfrac{6x-2x-2-x+1}{2x\left(x-1\right)\left(x+1\right)}=\dfrac{3x-1}{2x\left(x-1\right)\left(x+1\right)}\)

Answer 2