Question

Expand (x - 2y)4.

Answer 1

Welcome to OpenStudy!
I encourage you to explore the tools you have available to you to write out math expressions so that there is no doubt as to what you mean. (x-2y)4 could be (mis-) interpreted as 4*(x-2y). Assuming that your '4' is an exponent, write (x-2y)^4, or Draw it:

Answer 2

or use Equatin Editor:\[(x-2y)^4\]

Answer 3

This problem involves using (x-2y) as a factor 4 times: (x-2y)(x-2y)(x-2y)(x-2y).

What methods of expanding a binomial have you already learned?
Among some of the more common approaches are:

1) Pascal's Triangle
2) Memorizing "special products" such as (a+b)=a^2 + 2ab + b^2.
3) Binomial Theorem

to get you started, please evaluate (x-2y)*(x-2y) using whichever method you prefer.