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Mathematics 17 Online
OpenStudy (anonymous):

Help: Find the product. 5y (to the third) (3y +5) (y-3)

OpenStudy (johnweldon1993):

\[\large (5y)^3(3y+5)(y - 3)\] Or \[\large (5y^3)(3y+5)(y-3)\]

OpenStudy (anonymous):

its the second one

OpenStudy (anonymous):

actually the 5y to the this is not within parenthesis

OpenStudy (johnweldon1993):

Okay that's fine...so we have \[\large 5y^3(3y+5)(y - 3)\] We need to distribute...Multiply \(\large 5y^3\) by each term in the first parenthesis

OpenStudy (anonymous):

I get that part what messes me up is combining everything 15y^4 + 25y^3

OpenStudy (johnweldon1993):

Aright...you are correct there... So we have \[\large (15y^4 + 25y^3)(y - 3)\] Now distribute out these parenthesis what is 15y^4 times y? what is 15y^4 times -3? what is 25y^3 times y? what is 25y^3 times -3? \[\large 15y^5 - 45y^4 + 25y^4 - 75y^3\] We can only combine the terms with \(\large y^4\) so we have \[\large 15y^5 - 20y^4 - 75y^3\]

OpenStudy (anonymous):

I was just then combining the inside wrong now get it thank youuuu

OpenStudy (johnweldon1993):

No problem :)

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