How do you simplify (√y−5)2?

2 Answers
Thomas K. · Serena D.
Apr 11, 2018

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 (√y−5)(√y−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−5√y−5√y+25 which simplifies to y−10√y+25.

GM_Phrostbyte
Apr 11, 2018

y−10√y+25

Explanation:

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

(√y−5)2=(√y−5)(√y−5)

F means "first terms."

√y⋅√y=√y2=y

I means "inner terms."

−5⋅√y=−5√y

O means "outer terms."

√y⋅−5=−5√y

Finally, L means "last terms."

−5⋅−5=25

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

y+(−5√y)+(−5√y)+25

=y−10√y+25

That is the expanded form.

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