Question

How do you expand (b+2)^2 ?

`(b+2)^2`

Answer 1

`b^2 + 4b + 4`

Explanation:

This is a binomial squared.

`(a+b)^2 = a^2 + 2ab + b^2`

Hence:

`(b+2)^2 = b^2 + 2(b)(2) + 2^2 = b^2 + 4b + 4`

Answer 2

I believe it would be `b^2 + 4b + 4`

Explanation:

`(x+y)^2` would be `x^2+2xy+y^2`
You have to square the first two and combine for the middle figure

Answer 3

This uses FOIL, or First, Outer, Inner, Last expansion. After writing out the square (value of parenthesis twice), we expand. For your problem, I got `b^2+4b+4`.

Explanation:

`=(b+2)^2`
`=(b+2)(b+2)`

FOIL is found by multiplying each term to each other. Our objective is to end up in a simplified form.

First;`= b*b=b^2`
Outer;`= b*2=2b`
Inner;`=2*b=2b`
Last;`=2*2=4`

We end up with `b^2 + 2b +2b +4`

This isn't simplified completely, however. Don't forget to combine like terms. Like terms in this is 2b and 2b.

End result? `b^2+4b+4`