anonymous
  • anonymous
3y^5-75y^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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welshfella
  • welshfella
if you want to factor this you need to find the GCF
welshfella
  • welshfella
find GCF of 3 and 75 and GCF of y^3 and y^5
anonymous
  • anonymous
y and idk

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More answers

welshfella
  • welshfella
what number divides exactly into 3 and 75?
welshfella
  • welshfella
- that is the GCF
anonymous
  • anonymous
1
welshfella
  • welshfella
yes 1 does but its not the greatest factor that divides into 3 and 75
anonymous
  • anonymous
3
welshfella
  • welshfella
right the GCF is 3 what about y^3 and y^5 ?
welshfella
  • welshfella
y will but its not the greatest factor
anonymous
  • anonymous
y^3
welshfella
  • welshfella
right! so GCF is 3y^3
welshfella
  • welshfella
now you need to divide 3y^3 into 3y5 - 75y^3 to find what goes into the parentheses
anonymous
  • anonymous
3y^3(y^2-25y)
welshfella
  • welshfella
i'll do the first part for you 3y^5 / 3y^3 = y^(5-3) = y^2
welshfella
  • welshfella
you are almost right but 75 y^3 / 3y^3 = 25 not 25y
anonymous
  • anonymous
oh k
welshfella
  • welshfella
correct is 3y^3(y^2 - 25)
anonymous
  • anonymous
now what do we do
welshfella
  • welshfella
pretty good job
welshfella
  • welshfella
that is it we have factored it
anonymous
  • anonymous
k thanks
welshfella
  • welshfella
oops sorry y6 - 25 can be factored also - nearly missed that
welshfella
  • welshfella
y^2 - 25 is the difference of 2 squares y^2 and 25 are exact squares square root of y^2 is y and square root of 25 is 5 right?
anonymous
  • anonymous
right
welshfella
  • welshfella
so the factors are 2 binomials with square roots in eachh and + in one binomial and - in the other y^2 - 25 = ( y + 5)(y - 5)
anonymous
  • anonymous
thanks that was a close call
welshfella
  • welshfella
finally 3y^5-75y^3 = 3y^3(x + 5)(x - 5)
anonymous
  • anonymous
thanks that was a close call
welshfella
  • welshfella
yea - watch out for those lol
welshfella
  • welshfella
- i should have put y's not x's I guess I'm tired
welshfella
  • welshfella
3y^5-75y^3 = 3y^3(y + 5)(y - 5)

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