Question

(X+1)(x²-x+1)-2x=x(x-1)(x+1) ai dung thi to se tick 

Answer 1

Ta có :\(\left(x+1\right)\left(x^2-x+1\right)-2x=x\left(x-1\right)\left(x+1\right)\)

\(\Leftrightarrow x^3+1-2x=x\left(x^2-1\right)\)

\(\Leftrightarrow x^3-2x+1=x^3-x\)

\(\Leftrightarrow-x+2x=1\)

\(\Leftrightarrow x=1\)

Vậy \(x=1\)là nghiệm của phương trình.

Answer 2

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

\(\Leftrightarrow x^3+1-2x=x\left(x^2-1\right)\)

\(\Leftrightarrow x^3-2x+1=x^3-x\)

\(\Leftrightarrow x=1\)

Vậy \(x=1\)