3y^5-75y^3

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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if you want to factor this you need to find the GCF
find GCF of 3 and 75 and GCF of y^3 and y^5
y and idk

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Other answers:

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

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