Question

2. Factor completely 2x²y+12xy+18y

Answer 1

What can you pull out of each one of them?

Answer 2

2?

Answer 3

and if you pull out a 2, what do you get when you factor?

Answer 4

2x²y+12xy+18y
=2y (x²+6x+9) ...

Answer 5

oh, makes sense...

Answer 6

@matricked is right because you can pull out 2y and not just 2

Answer 7

you want to find a common factor(s) in all of them

Answer 8

and then you have a quadratic

Answer 9

=2y(x²+2*3x+9) ..[ (a+b)²= a² +2ab +b²) ]
=2y(x+3)²

Answer 10

confused.. haha.

Answer 11

what part?

Answer 12

all of it. i used an online factoring calculator and the answer said 6y(2x²+2x+3) but i have to show work and idk i'm just lost

Answer 13

i'm awful at math.. haha.

Answer 14

=2y(x²+2*3x+9) =2y(x² +3x +3x +9)
=2y( x(x+3) +3(x+3) )
=2y(x+3)(x+3)
=2y(x+3)²

Answer 15

sooo.. is 2y(x+3)² the answer?

Answer 16

yes

Answer 17

alright, thank you

Answer 18

check your question first..

Answer 19

6y(2x²+2x+3) = 12 x²y +12xy +18 y..

Answer 20

soooo...... that's the answer?

Answer 21

but you have posted 2 x²y +12xy +18 y..

Answer 22

what?

Answer 23

ooooookay soooooooo is the answer 2y(x+3)² or 6y(2x²+2x+3)

Answer 24

the question is asking you to factor completely

Answer 25

so, factoring completely would be 2y(x+3)²

Answer 26

it would be the 12x^2y...

Answer 27

if that is what the question wants

Answer 28

can you check your answer?

Answer 29

so wait 12x²y is the answer?

Answer 30

do you have the answer?

Answer 31

uh the answer online said 6y(2x²+2x+3) but you said something different and the other person said the same thing as the online calculator said but then he confused me and now i'm just all freaking confused.

Answer 32

wait is the answer 2y(x+3)(x-3)?

Answer 33

2y(x+3)² factors to 2x^2+12xy+18y and that is what you started with

Answer 34

so, it's right?

Answer 35

2y(x+3)(x+3) is how I would leave your answer

Answer 36

alright, thanks

Answer 37

2x²y+12xy+18y = 2y(x+3)(x+3)
but for
12 x²y +12xy +18 y = 6y(2x²+2x+3)

Answer 38

you just typed the same equation with different answers..?

Answer 39

matricked is showing the online calculator that you used solved for a different polynomial than you may have intended

Answer 40

notice the first term is 12 for the online calculator and for your actual answer it has a 2

Answer 41

ohhhhhhhhhhhhh