Question

Is there a shortcut when foiling this equation:
(6t^2-18t+12)^2

Answer 1

I know that there is a shortcut when there are two terms within the bracket but I wonder if there is one for one with 3 terms

Answer 2

Im honestly not sure... Sorry

Answer 3

That was a profound answer so u deserve a medal

Answer 4

Thanks

Answer 5

Strobe u shld know the answer

Answer 6

Other than noting each time you multiply unlike terms you do this twice, so can just multiply by 2 the first time, I wouldn't say there's many optimisations you can make. These can be done so quickly in your head there's no point grinding over finding the quickest way, though.

Answer 7

Factor out the six, and realize you're really factoring out a six SQUARED. That makes the inside three terms a bit easier to square.

\[(6t^2-18t+12)^2 = \left(6(t^2-3t+2)\right)^2= 6^2 (t^2-3t+2)^2 = 6^2\left((t-1)(t-2)\right)^2\]

And if you wanna go nuts, that last step equals... \[6^2(t-1)^2\cdot(t-2)^2\]


So yeah. Not exactly a walk through a daisy field, but slightly more manageable. :)

Answer 8

ya thanks everyone

Answer 9

HEY

Answer 10

I did it

Answer 11

what did u do?

Answer 12

I'm applying to a new school. I had a discussion with the admissions counselors and I decided to go through with it

Answer 13

WHAT????

Answer 14

U r so fast

Answer 15

Where r u applying to?

Answer 16

I don't mess around

Answer 17

Ottawa University

Answer 18

but the new term only starts like in a month and a half

Answer 19

I know. Now is a good time to start preparing

Answer 20

oh so next term you are gonna sign up with ottawa and this term you r gonna be where u r

Answer 21

Yes

Answer 22

But I thought they don't offer wht u want?

Answer 23

Actually, the next term begins 7 Jan 2012

Answer 24

So what courses r u gonna take?

Answer 25

I can just work on getting a degree in Math for right now.

Answer 26

The pace is appropriate for me. 8 weeks

Answer 27

I can get done with courses quick and focus the extra time doing other things I need to do.

Answer 28

but what courses are u taking?

Answer 29

Math Science courses right now, but each course is 3 and 1/2 weeks long and too dense.

Answer 30

no what courses r u gonna take next term?

Answer 31

Whatever courses are available. If you want, we can take the same courses.

Answer 32

but i am still in the begginning

Answer 33

I am taking next term linear algebra and calc 2

Answer 34

Okay, I've never taken linear algebra before but I can study up on it before I take it

Answer 35

I can take calc II again because I need to brush up

Answer 36

that wld be a waste of time and money

Answer 37

YOu shld get in touch with them

Answer 38

they may make u take like some kind of english course beforehand

Answer 39

They made me take this course first to get used to an online course

Answer 40

No they won't. I already have experience taking online courses. It's on my transcript

Answer 41

oh ok

Answer 42

so get in touch with them

Answer 43

and I've already taken English courses at this university

Answer 44

I already spoke with them already

Answer 45

idk u gotta ask them

Answer 46

u did????

Answer 47

Yes, I told you that already

Answer 48

oh so what did they say that u r in?

Answer 49

All I have to do is apply and send them my transcripts

Answer 50

oh so u r gonna do that. Are u totally doing it online?

Answer 51

yes

Answer 52

I'll be doing the same thing you're doing

Answer 53

oh cool

Answer 54

I can't believe you've been on here all day

Answer 55

kind of. I went away for like 3 hrs but now I am back and don't know how to foil this. KIND OF EMABARRASSING

Answer 56

I can show you how to do it

Answer 57

I can show you how to do almost anything

Answer 58

well my lil sis is showing me now

Answer 59

Oh, okay :D

Answer 60

Another way to do it in case you're interested