sum and difference of two cubes

approaching this numerically is slow...

students will need to be able to form a quadratic general rule after a factor has been extracted for their results

with, probably, more examples

maybe it is too time consuming to build up a numerical approach to factorising the sum and differnece of two cubes, although the linear factor perhaps can be appreciated

maybe move on to a geometric interpretation and then return to generalisations for the forms of these questions later

sum of two cubes
3D tinkerpot,
can vary the view
here