algebra/ factoring polynomials

This week 9 we are factoring polynomials.docx factoring polynomials

I need help with question question  #37 on page 342 please see attachment for details.

37. 512+1000z3

Show all steps of the process used to factor the problem. To check your result, show how to multiply the resulting polynomials out again. In your own words, explain the relationship that exists between factoring polynomials and multiplying polynomials.