Simplify:

To simplify, we will proceed as follows:

x2(x + 2y) (x − 3y)

$=\left[x^{2}(x+2 y)\right](x-3 y)$

$=\left(x^{3}+2 x^{2} y\right)(x-3 y)$

$=x^{3}(x-3 y)+2 x^{2} y(x-3 y)$

$=x^{4}-3 x^{3} y+2 x^{3} y-6 x^{2} y^{2}$

$=x^{4}-x^{3} y-6 x^{2} y^{2}$

Thus, the answer is $x^{4}-x^{3} y-6 x^{2} y^{2}$.