\(x^3+5x^2+6x=x\left(x^2+5x+6\right)\)
\(=x\left(x^2+2x+3x+6\right)\)
=x[x(x+2)+3(x+2)]=x(x+3)(x+2)
\(x^3+5x^2+6x\)
= \(x^3+2x^2+3x^2+6x\)
= \(\left(x^3+2x^2\right)+\left(3x^2+6x\right)\)
= \(x^2\left(x+2\right)+3x\left(x+2\right)\)
= \(\left(x^2+3x\right)\left(x+2\right)\)