\(x+x^2+x^3=x\left(1+x+x^2\right)=x\left[\left(x^2+2x+1\right)-x\right]\)
\(=x\left[\left(x+1\right)^2-\left(\sqrt{x}\right)^2\right]=x\left(x+1-\sqrt{x}\right)\left(x+1+\sqrt{x}\right)\)
x+x2+x3=x(1+x+x2)=x[(x2+2x+1)−x]x+x2+x3=x(1+x+x2)=x[(x2+2x+1)−x]
=x[(x+1)2−(√x)2]=x(x+1−√x)(x+1+√x)