How do I perform this operation?

x^2 (x-2) + x (x-2) ^2

To perform the operation indicated in x² (x - 2) + x (x - 2) ², we have to factor. The terms we see common in each of these terms is x (x - 2). Now we need to factor it out. The expression becomes:

[x (x-2) ][ (x) + (x-2) ] The first bracket has the term factored out and the second bracket has the remainder from each term.

Simplifying this further gives us our answer of:

x (x-2) (2x-2)