## rld613 Is there a shortcut when foiling this equation: (6t^2-18t+12)^2 2 years ago 2 years ago

1. rld613

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

2. LoveYou*69

Im honestly not sure... Sorry

3. rld613

That was a profound answer so u deserve a medal

4. LoveYou*69

Thanks

5. rld613

Strobe u shld know the answer

6. strobe

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.

7. 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. :)

8. rld613

ya thanks everyone

9. rld613

HEY

10. Hero

I did it

11. rld613

what did u do?

12. Hero

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

13. rld613

WHAT????

14. rld613

U r so fast

15. rld613

Where r u applying to?

16. Hero

I don't mess around

17. Hero

Ottawa University

18. rld613

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

19. Hero

I know. Now is a good time to start preparing

20. rld613

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

21. Hero

Yes

22. rld613

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

23. Hero

Actually, the next term begins 7 Jan 2012

24. rld613

So what courses r u gonna take?

25. Hero

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

26. Hero

The pace is appropriate for me. 8 weeks

27. Hero

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

28. rld613

but what courses are u taking?

29. Hero

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

30. rld613

no what courses r u gonna take next term?

31. Hero

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

32. rld613

but i am still in the begginning

33. rld613

I am taking next term linear algebra and calc 2

34. Hero

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

35. Hero

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

36. rld613

that wld be a waste of time and money

37. rld613

YOu shld get in touch with them

38. rld613

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

39. rld613

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

40. Hero

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

41. rld613

oh ok

42. rld613

so get in touch with them

43. Hero

and I've already taken English courses at this university

44. Hero

45. rld613

46. rld613

u did????

47. Hero

Yes, I told you that already

48. rld613

oh so what did they say that u r in?

49. Hero

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

50. rld613

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

51. Hero

yes

52. Hero

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

53. rld613

oh cool

54. Hero

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

55. rld613

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

56. Hero

I can show you how to do it

57. Hero

I can show you how to do almost anything

58. rld613

well my lil sis is showing me now

59. Hero

Oh, okay :D

60. Hero

Another way to do it in case you're interested