Question

How do you simplify `(sqrty-5)^2`?

Answer 1

Foil and add like terms

Explanation:

I really hope that you know how to foil so I am not going to explain it but once you expand you get `(sqrty-5)(sqrty-5)`. If you did not know when you multiply two roots the cancel and the middle number stays the same. So when you foil you should get `y-5sqrty -5sqrty+25` which simplifies to `y-10sqrty+25`.

Answer 2

`y-10sqrty+25`

Explanation:

Using the FOIL method, you can multiply the two terms inside the parenthesis together.

`(sqrty-5)^2=(sqrty-5)(sqrty-5)`

F means "first terms."

`sqrty*sqrty=sqrty^2=y`

I means "inner terms."

`-5*sqrty=-5sqrty`

O means "outer terms."

`sqrty*-5=-5sqrty`

Finally, L means "last terms."

`-5*-5=25`

Add your four results together and simplify to complete the foil.

`y+(-5sqrty)+(-5sqrty)+25`

`=y-10sqrty+25`

That is the expanded form.