Question

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

Answer 1

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

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

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

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

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

Answer 2

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