anonymous
  • anonymous
5y(-y^2-7y)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[5y(-2y ^{2}-7y)\]
amistre64
  • amistre64
so what do you know to do to this problem?
anonymous
  • anonymous
i dont know how to do these types of problems im home sick today and this is the practice problems the teacher wants me to do to turn in tomorow to see if i need to do the assighnment or not

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amistre64
  • amistre64
ok... lets review some basic concepts then ok.
amistre64
  • amistre64
to make it easier, lets do this: 3(8) = 24 right?
anonymous
  • anonymous
yeah
amistre64
  • amistre64
then this should also equal 24: 3(6+2) = 24 ...make sense?
anonymous
  • anonymous
yeah
amistre64
  • amistre64
good, now how do we prove this? we "distibute" that 3 thru the (6+2) like this, just multiply it thru... 3(6) + 3(2) = 24 18 + 6 = 24 24 = 24.... Do you see how I did that?
amistre64
  • amistre64
distribute is the word I was trying to type :)
anonymous
  • anonymous
yeah so if i do that for this problem i end up with -45y^{2} would that be correct
anonymous
  • anonymous
-45y squared
amistre64
  • amistre64
not yet, there are a few more things to iron out...
amistre64
  • amistre64
you see the "y"'s in there....they play by the same rules, but with a difference result
anonymous
  • anonymous
so it would be just -45?
amistre64
  • amistre64
quit trying to jump ahead of the curve, if you simply want ananswer to it it aint gonna be useful to you..... we will get to the answer soon enough :)
amistre64
  • amistre64
do you know how the rules of positive and negatives work with multiplication? (+)(+) = (+) (-)(-)=(+) (-)(+)=(-) do you know these rules?
anonymous
  • anonymous
yes
amistre64
  • amistre64
good, then the only thing left to do is to figure out what to do with they "y"s :)
amistre64
  • amistre64
y^2 means that you have 2 little y's that have been pushed together like this: yy = y^2 y^5 means 5 little y's are pushed together like this: yyyyy = y^5 does that make sense?
anonymous
  • anonymous
yeah
amistre64
  • amistre64
good, when we multiply these y's together, we simply add up all the little y's together, for example: y^2 times y^5 = yy yyyyy = yyyyyyy = y^7 y^1 times y^3 means y yyy = yyyy = y^4 does that make sense?
anonymous
  • anonymous
yea
amistre64
  • amistre64
then lets step thru your problem and use this understanding to get the answer :) ok?
anonymous
  • anonymous
ok
amistre64
  • amistre64
5y(-y^2-7y) lets distribute that 5 thru to get: 5(-y^2) + 5(-7y) = (-10y^2 -35y) now were left with that y on the outside to distribute thru like this: y(-10y^2 -35y) y(-10y^2) + y(-35y) -10yyy + -35yy = -10y^3 -35y^2 and thats as far as we can take it
amistre64
  • amistre64
and I messed it up lol.....
amistre64
  • amistre64
5(-y^2) = -5y^2...
amistre64
  • amistre64
copy edit repaste...
amistre64
  • amistre64
5y(-y^2-7y) lets distribute that 5 thru to get: 5(-y^2) + 5(-7y) = (-5y^2 -35y) now were left with that y on the outside to distribute thru like this: y(-5y^2 -35y) y(-5y^2) + y(-35y) -5yyy + -35yy = -5y^3 -35y^2 and thats as far as we can take it
anonymous
  • anonymous
so then the answer would be -5y^3-35y^2?
amistre64
  • amistre64
yep, thats the answer
anonymous
  • anonymous
oh ok thanks
amistre64
  • amistre64
youre welcome

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