Question

giúp mk với,cảm ơn trước nhá

Answer 1

Bài 6:

a: Ta có: \(E=1:\left(\dfrac{x^2+2}{x^3-1}-\dfrac{x+1}{x^2+x+1}-\dfrac{x+1}{x^2-1}\right)\)

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

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

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

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

\(=\dfrac{-x^2-x-1}{x+2}\)