What is ${(x + y)}^{2}$ $(x+y)^2$ ?

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Answer 1 · 2014-09-13T11:24:23

It is simply $x^{2} + 2 x y + y^{2}$ $x^2 + 2xy + y^2$ .

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

You'd get $x^{2} + x y + y x + y^{2}$ $x^2+xy+yx+y^2$

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

Hence the final answer is $x^{2} + 2 x y + y^{2}$ $x^2 + 2xy + y^2$ .

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

Hope that helped :)

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