Question

x^4+2x^3+3x^2+2x+1

 

Answer 1

có số 1 ko vậy

Answer 2

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

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

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

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

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

Answer 3

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

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

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

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