Can someone help me with this special product? (x + 5)^2

I know I set it up as (x + 5) (x+5) and use FOIL.

But so far I just have x^2, im just confused on combining x and 5 because it wouldnt be 5x right?

Question

Can someone help me with this special product? (x + 5)^2

I know I set it up as (x + 5) (x+5) and use FOIL.

But so far I just have x^2, im just confused on combining x and 5 because it wouldnt be 5x right?

anonymous · Answer

yes. you should get $5x$ twice, once from "outer" and once from "inner"

anonymous · Answer

btw it is not really "combining" it is "multiplying" because that is what you are doing when you multiply these two 
$5x$ means $5\times x$

anonymous · Answer

Okay, thank you!

anonymous · Answer

so would it be x^2 + 5x + 5x + 10?

anonymous · Answer

yes

anonymous · Answer

now is when you "combine"

anonymous · Answer

but if I combined the 5x's to 10x^2?

anonymous · Answer

ok i made a mistake

anonymous · Answer

it is multiply, multiply, multiply, multiply
not multiply, multiply, multiply, add

anonymous · Answer

$$x^2+5x+5x+5\times 5$$
$$x^2+5x+5x+25$$

anonymous · Answer

now what is $5x+5x$?  like $5 + $5

anonymous · Answer

oh okay! but then I combine the 5x's right?

anonymous · Answer

five dollars plus five dollars is ten dollars, and $5x+5x=10x$

anonymous · Answer

not $10x^2$ when you add, you do not change the exponents

anonymous · Answer

okay, thank you very much!

anonymous · Answer

@chungerforever you got that? final answer should be 
$$x^2+10x+25$$

anonymous · Answer

with a little practice you will see that $(a+b)^2=a^2+2ab+b^2$ and will skip "foiling" so for example
$$(x+6)^2=x^2+12x+36$$