\(3x^4-4x^3+1\)
\(\text{Phân tích thành nhân tử}\)
\(\left(x-1\right)^2\left(3x^2+2x+1\right)\)
k nhé
\(3x^4-4x^3+1\)
\(=3x^4+2x^3+x^2-6x^3-4x^2-2x+3x^2+2x+1\)
\(=x^2\left(3x^2+2x+1\right)-2x\left(3x^2+2x+1\right)+\left(3x^2+2x+1\right)\)
\(=\left(x^2-2x+1\right)\left(3x^2+2x+1\right)\)
\(=\left(3x^2+2x+1\right)\left(x-1\right)^2\)