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

- anonymous

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

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- schrodinger

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- anonymous

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

- anonymous

Im honestly not sure... Sorry

- anonymous

That was a profound answer so u deserve a medal

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## More answers

- anonymous

Thanks

- anonymous

Strobe u shld know the answer

- anonymous

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.

- mathteacher1729

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. :)

- anonymous

ya thanks everyone

- anonymous

HEY

- Hero

I did it

- anonymous

what did u do?

- Hero

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

- anonymous

WHAT????

- anonymous

U r so fast

- anonymous

Where r u applying to?

- Hero

I don't mess around

- Hero

Ottawa University

- anonymous

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

- Hero

I know. Now is a good time to start preparing

- anonymous

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

- Hero

Yes

- anonymous

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

- Hero

Actually, the next term begins 7 Jan 2012

- anonymous

So what courses r u gonna take?

- Hero

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

- Hero

The pace is appropriate for me. 8 weeks

- Hero

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

- anonymous

but what courses are u taking?

- Hero

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

- anonymous

no what courses r u gonna take next term?

- Hero

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

- anonymous

but i am still in the begginning

- anonymous

I am taking next term linear algebra and calc 2

- Hero

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

- Hero

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

- anonymous

that wld be a waste of time and money

- anonymous

YOu shld get in touch with them

- anonymous

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

- anonymous

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

- Hero

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

- anonymous

oh ok

- anonymous

so get in touch with them

- Hero

and I've already taken English courses at this university

- Hero

I already spoke with them already

- anonymous

idk u gotta ask them

- anonymous

u did????

- Hero

Yes, I told you that already

- anonymous

oh so what did they say that u r in?

- Hero

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

- anonymous

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

- Hero

yes

- Hero

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

- anonymous

oh cool

- Hero

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

- anonymous

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

- Hero

I can show you how to do it

- Hero

I can show you how to do almost anything

- anonymous

well my lil sis is showing me now

- Hero

Oh, okay :D

- Hero

Another way to do it in case you're interested

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