Question

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

Answer 1

first find GCF of 2, 6 and 16
can you do that?

Answer 2

it's 2 right?

Answer 3

ac

Answer 4

no 6

Answer 5

no it 2 - the greatest number that will divide into 2 6 and 16

Answer 6

which is 2 right?

Answer 7

now find GCF for terms in x and terms in y

GCF of x^2, x^2 and x
and
GCF of y and y^2

Answer 8

2 is right yes

Answer 9

that is where i get confused at

Answer 10

GCF of x^2 and x is easy
write them as x*x and x

- it must be x right?

Answer 11

yes

Answer 12

x * x and x
- the factor common to both is x

Answer 13

same with y^2 and y

- gotta be y

Answer 14

so GCF we are looking for is 2xy

Answer 15

2xy is going to be my answer right?

Answer 16

?

Answer 17

no you need to factor the expression now
divide 2xy into
2x^2y+6x^2y^2-16xy

ill start you off : 2x^2 y / 2xy = x

so we get

2xy( x + - )

- try filling in the blanks

Answer 18

4-2? maybe. im not sure

Answer 19

i just suck lol

Answer 20

u still there?

Answer 21

Hi. Listen, have an I can do it attitude! 2 is the largest number that will go into the function so we will factor it out. Is there supposed to be a + or - sign after 2x^2 though?

Answer 22

nope it's just y then there is a + sign

Answer 23

Oh well. So, what number will go into all of them evenly? Could a variable go into them each also? Tell me.

Answer 24

6x^2y^2 / 2xy = 3xy

Answer 25

and 16xy / 2xy = 8

Answer 26

so the answer is 8xy

Answer 27

?

Answer 28

no what goes in the brackets is the result of dividing the whole expression by 2xy and 2xy is outside the brackets

Answer 29

Ok u lost me

Answer 30

2x^2y+6x^2y^2-16xy = 2xy(x + 3xy - 8)

Answer 31

ok

Answer 32

this process is called factoring

Answer 33

so is that the answer or no?

Answer 34

?

Answer 35

yes