Question

What is `(x+y)^2`?

Answer 1

It is simply `x^2 + 2xy + y^2`.

To get this answer, you'd just need to separate this into `(x+y)(x+y)`, and then foil it out.

You'd get `x^2+xy+yx+y^2`

Now since `xy` and `yx` are mathematically the same thing, we can combine them to make `2xy`.

Hence the final answer is `x^2 + 2xy + y^2`.

If you want to understand how foiling is done, please check out this video .

Hope that helped :)