Question

rut gon

Answer 1

\(B=\dfrac{\left|x^3-3x^2+3x-1\right|}{x^3-3x^2+x}\)

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

\(=\dfrac{\left|\left(x-1\right)^3\right|}{x\left(x-1\right)^2}=\pm\dfrac{x-1}{x}\)

Answer 2

\(B=\dfrac{\left|x^3-3x^2+3x-1\right|}{x^2-2x^3+x}\)

\(B=\dfrac{\left|x^3-3\cdot x^2\cdot1+3\cdot x\cdot1^2-1^3\right|}{x\left(x^2-2x+1\right)}\)

\(B=\dfrac{\left|\left(x-1\right)^3\right|}{x\left(x-1\right)^2}\)

Khi \(x< 1,x\ne0\) 

\(B=\dfrac{1-x}{x}\) 

Khi \(x>1\) 

\(B=\dfrac{x-1}{x}\)