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Mathematics 12 Online
OpenStudy (anonymous):

Expand (5 - y)3

OpenStudy (xmoses1):

you would multiply everything inside the parenthesis by three. Then what would you get?

hero (hero):

I'm pretty sure they meant \((5 - y)^3\)

hero (hero):

The first step to expand \((5 - y)^3\) is to re-write in this manner: \((5 - y)^3 = (5 - y)(5 - y)(5 - y)\)

OpenStudy (xmoses1):

Oh then don't listen to me lol

hero (hero):

Next multiply \((5 - y)(5 - y)\). Expand that product, then take the result from that and multiply it by \((5 - y)\) once more.

hero (hero):

\((5 - y)(5 - y) = 5(5 - y) - y(5 - y)\) \( = 25 - 5y - 5y + y^2\) \(= 25 - 10y + y^2\) Now multiply that result by \((5 - y)\) as follows: \((25 - 10y + y^2)(5 - y) = 25(5 - y) - 10y(5 - y) + y^2(5 - y)\) \(= 125 - 25y - 50y + y^2 + 5y^2 - y^3\) \(=125 - 75y + 6y^2 - y^3\)

hero (hero):

Do you have any questions about this process @ashlynnwilson8 ?

OpenStudy (anonymous):

no i got it thank you

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