Question

Will fan and give medals!
Factor 3y 2 - 4y.

y(4 - 3y)

y(3y - 4)

y(4y - 3)

Answer 1

what is the common factor here? any idea

Answer 2

nope i have no idea. :/

Answer 3

we have y shared btw both terms yes

Answer 4

huh?

Answer 5

let me rewrite it this way \[3y^2-4y=3yy-4y\]
do you see that y is common?

Answer 6

say yes no, get out of here just say something lol

Answer 7

3y^2 is the same is as 3y times y
yes?

Answer 8

yes i did

Answer 9

okay good!

Answer 10

so you will it b the second one?

Answer 11

now if y is common we can pull it out using distributive property
\[3yy-4y=y(3y-4)\]

Answer 12

turns out to be B yes

Answer 13

if you did distributive property you will end up with what you started with
3y^2-4y
that's why i said we are using that arithmetic law to get this

Answer 14

a(b+c)=ab+ac
right?

Answer 15

so walking backwards is what is called factorization
they give us ab+ac want us to get a(b+c)