\(x^3+5x^2+6x=x^2\left(x+2\right)+3x\left(x+2\right)=x\left(x+3\right)\left(x+2\right)\)
x3+5x2+6x= x3+3x2+2x2+6x=x2 (x+3)+2x(x+3 )
=(x+3)(x2+2x)
\(x^3+5x^2+6x\)
\(=x^3+3x^2+2x^2+6x\)
\(=x^2\left(x+3\right)+2x\left(x+3\right)\)
\(=\left(x+3\right)\left(x^2+2x\right)\)
\(=x\left(x+2\right)\left(x+3\right)\)