Question

Choose the correct GCF for the following trinomial: 12a^4b^4 − 36a^3b^3 + 48a^3b^2.

Answer 1

Okay so GCF is the factor that all 3 have in common. What's the biggest number u can take out of all 3 of them, that is also a factor of 12, 36, & 48?

Answer 2

12?

Answer 3

Yep, hey do u have choices as well? And hey also u could take out some of the variables as well. To take out variables, u need 2 make sure that they all have the same amount to take out. For instance, notice how they all have at least a^3? That means you could take that out and that would be apart of ur GCF

Answer 4

here are my choices:

12a3b3

12a3b2

12a2b3

12ab

Answer 5

& yeah since all the terms have some b variables in them as well, u can take some of that out. All of them have at least b^2, so u'd be able to take that out and put that in ur GCF. You can only take a variable out if its in all the terms, and also if u can take the same amount from each like we did with a^3 & b^2. So to finish it up, our GCF is 12a^3b^2, which is B :)

Answer 6

Thanks!

Answer 7

Did u get how 2 find it? o.O

Answer 8

yesh! thanks!

Answer 9

K glad I could help :) If u need any more help just ask & I'll do my best :D