Question

Find the product.

(r + s)^2


1.) r2 + 2rs + s
2.) r2 + 2rs + s2
3.) r2 + 2rs + 2s2

Answer 1

(r + s)^2

= r(r + s) + s(r + s)

= r^2 + rs + rs + s^2

= r^2 + 2rs + s^2 Answer


Is choice 2.

Answer 2

`r^2+2rs+s^2`

Explanation:

we can see this
`(r + s)^2` as (r+s)(r+s)

And simplify it using the concept of FOIL

so

`(r+s)(r+s)=r^2+rs+rs+s^2`

which further simplifies to

`r^2+2rs+s^2`