Question

phân tích thành nhân tử
\(4x^4+4x^3+5x^2+2x+1\)

Answer 1

\(4x^4+4x^3+5x^2+2x+1\)

\(=4x^4+2x^3+2x^2+2x^3+x^2+2x^2+x+1\)

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

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

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