Question

3y^5-75y^3

Answer 1

if you want to factor this you need to find the GCF

Answer 2

find GCF of 3 and 75
and GCF of y^3 and y^5

Answer 3

y and idk

Answer 4

what number divides exactly into 3 and 75?

Answer 5

- that is the GCF

Answer 6

1

Answer 7

yes 1 does but its not the greatest factor that divides into 3 and 75

Answer 8

3

Answer 9

right the GCF is 3

what about y^3 and y^5 ?

Answer 10

y will but its not the greatest factor

Answer 11

y^3

Answer 12

right!


so GCF is 3y^3

Answer 13

now you need to divide 3y^3 into 3y5 - 75y^3 to find what goes into the parentheses

Answer 14

3y^3(y^2-25y)

Answer 15

i'll do the first part for you
3y^5 / 3y^3 = y^(5-3) = y^2

Answer 16

you are almost right but 75 y^3 / 3y^3 = 25 not 25y

Answer 17

oh k

Answer 18

correct is
3y^3(y^2 - 25)

Answer 19

now what do we do

Answer 20

pretty good job

Answer 21

that is it
we have factored it

Answer 22

k thanks

Answer 23

oops sorry
y6 - 25 can be factored also - nearly missed that

Answer 24

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?

Answer 25

right

Answer 26

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)

Answer 27

thanks that was a close call

Answer 28

finally
3y^5-75y^3 = 3y^3(x + 5)(x - 5)

Answer 29

thanks that was a close call

Answer 30

yea - watch out for those lol

Answer 31

- i should have put y's not x's I guess I'm tired

Answer 32

3y^5-75y^3 = 3y^3(y + 5)(y - 5)