Question

factor out the greatest common factor. 2x^2y+6x^2y^2-16xy

Answer 1

What's the GCF

Answer 2

Greatest common factor

Answer 3

Yes, but what is it in this case

Answer 4

I'm not sure.

Answer 5

What's the GCF of 2, 6, -16 ?

Answer 6

like what number will go into these?

Answer 7

yes, the largest number in all 3

Answer 8

t would be 6 right

Answer 9

6 is a factor of 2?

Answer 10

and 6 is a factor of 16?

Answer 11

yea

Answer 12

no, 6 is not a factor of 16

Answer 13

oh yea

Answer 14

ok so what would i do from here?

Answer 15

keep looking for that GCF and tell me what else you get

Answer 16

2 is a factor of 16

Answer 17

good, and it's also a factor of 6

Answer 18

and it turns out that 2 is the GCF of 2, 6, and -16

Answer 19

ok

Answer 20

now find the GCF of the variable terms

Answer 21

it would be 2 right ?

Answer 22

that's the GCF of the coefficients

Answer 23

what about the variable terms

Answer 24

it's x and y right

Answer 25

x^2y, x^2y^2, xy

Answer 26

close, it's actually xy

Answer 27

So combine these two GCFs to get the final GCF to be 2xy

Answer 28

Now factor out the GCF 2xy

Answer 29

how do i do that

Answer 30

?

Answer 31

im lost

Answer 32

Factor each term and make sure each term has a factor of 2xy

Ex: -16xy = 2xy(-8)

Then use the distributive property

Answer 33

so i got -16xy

Answer 34

is that correct?

Answer 35

2x^2y+6x^2y^2-16xy

becomes

2xy(x) + 2xy(3xy) + 2xy(-8)

What's next?

Answer 36

would i multiply 2X2 and get 4xy?

Answer 37

no, use the distributive property

Answer 38

can u walk me thorugh it?

Answer 39

use the idea that

ab+ac+ad

becomes

a(b+c+d)

Answer 40

so how would i combine those up top?

Answer 41

How can I use the idea given above to factor 2xy(x) + 2xy(3xy) + 2xy(-8)

Answer 42

distritbutive property

Answer 43

yes, how can you use that

Answer 44

by multiplying the coeffients and combining like terms?

Answer 45

I'm about to have to leave for a hr

Answer 46

alright, think over what we've done so far

Answer 47

and read in your book about the distributive property (for how it works and some examples)

Answer 48

ok

Answer 49

r u going to be on in a hr

Answer 50

I'm not sure

Answer 51

ok

Answer 52

I've got about 28 more of these problemes that are due at midnight tonight so im proably going to need help lol

Answer 53

alright, make sure you read more into it so you get a better understanding of it

Answer 54

ok

Answer 55

talk to you in a bit :)

Answer 56

alright