Question

What common factor should be written in the blank?



12y + 27 = ___(4y + 9)

Answer 1

Well. What number multiply by 4y would give us 12y?

Answer 2

3y?

Answer 3

Not quite. 4y * 3 y = 12y^2.
Since 4 * 3 = 12.
And y * y= y^2.

Answer 4

Alright. What number multiply by 9 would give us 27?

Answer 5

3

Answer 6

would it be 9y/

Answer 7

Hmm?
Your saying 9y is a common factor?

Answer 8

Im so confused...

Answer 9

If so, then 4y * 9y = 36y^2.

Before, you said that 3 * 9 =27.

So do you think that 3 * 4y = 12y?

Answer 10

yes

Answer 11

Great. Therfore, 3 is a common factor. :)

Answer 12

Thank you!!

Answer 13

You can check your work if you want.
3(4y + 9)
3 * 4y = 12y.
3 * 9 =27.

12y + 27 = 12y + 27.

I hope this help. :)