I was trying to find this formula in one of these posts but was unable to although it was answered a few times.
What is x^3 - y^3.
Is it (x+y)^2 + 3xy(x+y)?
I kinda remember but not in the top of my head :D.
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Old stuff
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Old stuff
by murali0298 » Wed Apr 18, 2012 6:15 pm
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Re: Old stuff
by rcoker7 » Wed Apr 18, 2012 6:18 pm
close. It's (x-y)((x-y)^2+3xy)
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 6:23 pm
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 6:27 pm
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 6:29 pm
2013 District 1/Region:
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MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 6:36 pm
Also....
This stuff keeps popping up: the simplified coefficients.
Can you tell me the way to do every type of problem involving coefficients: like sum of all or product or what is the coefficient of the 5th term in the binomial expansion "blablabla"...
I keep skipping these stuff too!
Also, how do you the +1/-1 trick backwards like this: (59/67)-(10/11).
Also, is the +1/-1 stuff only subtraction or can it be asked in like addition and if so, how would I do them?
How would I do (34)^2 - (21)(55). Is it just arithmetic because answers to these types of problems are always -1 for some reason!
Thanks.
This stuff keeps popping up: the simplified coefficients.
Can you tell me the way to do every type of problem involving coefficients: like sum of all or product or what is the coefficient of the 5th term in the binomial expansion "blablabla"...
I keep skipping these stuff too!
Also, how do you the +1/-1 trick backwards like this: (59/67)-(10/11).
Also, is the +1/-1 stuff only subtraction or can it be asked in like addition and if so, how would I do them?
How would I do (34)^2 - (21)(55). Is it just arithmetic because answers to these types of problems are always -1 for some reason!
Thanks.
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 6:43 pm
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 6:51 pm
I remember the sum of coefficients, but please just tell me the other types and their solutions.
I don't have time to look up all the posts...
I don't have time to look up all the posts...
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 6:52 pm
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 6:54 pm
Really???
Ok. Where do I find them?
Ok. Where do I find them?
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 6:55 pm
Never mind. Found it. Thanks!
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 6:55 pm
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 7:40 pm
Hey.
I saw the previous posts and u have not explained the product of the roots.
Can you explain that please???
Thanks.
Hope it is not a waste of ur time nsguy1350 :P
I saw the previous posts and u have not explained the product of the roots.
Can you explain that please???
Thanks.
Hope it is not a waste of ur time nsguy1350 :P
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 7:44 pm
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
NS - 319/355
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CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 7:49 pm
Wait not this.
I meant product of coefficients...
Is it the same.
Sorry...
I meant product of coefficients...
Is it the same.
Sorry...
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
- murali0298
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 7:51 pm
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
NS - 319/355
MA - 340/332
CA - 294/287
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CS - 212/124 (fail)
- nsguy1350
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Re: Old stuff
by murali0298 » Wed Apr 18, 2012 7:58 pm
I am a EDIT: SOPHOMORE (Summer has begun and Freshman year is OVER) and I am human. I don't think anyone can refute that - No Counterarguement!
If they do...well....i don't know if that's going to happen!
If they do...well....i don't know if that's going to happen!
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Re: Old stuff
by nsguy1350 » Wed Apr 18, 2012 8:03 pm
Murali. First my name is not Weseley.
Second, there isn't a trick to the problem to my knowledge. There is some formula to know... but I don't remember. Just brute force it.
And third, skill at Number Sense doesn't equate to genius.
Second, there isn't a trick to the problem to my knowledge. There is some formula to know... but I don't remember. Just brute force it.
And third, skill at Number Sense doesn't equate to genius.
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)
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Re: Old stuff
by rcoker7 » Wed Apr 18, 2012 8:06 pm
Region scores
NS: 368
CALC: 308
MATH: 318
SCIENCE: 232(32,96,104)
NS: 368
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MATH: 318
SCIENCE: 232(32,96,104)
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Re: Old stuff
by DentonKnight » Wed Apr 18, 2012 9:17 pm
For an expansion (ax + by) ^ n the product of the coeficients is: a^(nth triangular number) * b^(nth triangular number) * c
if n = 1, c = 1
if n = 2, c = 2
if n = 3, c = 9
if n = 4, c = 96
if n = 5, c = 2500
...
I'm sorry I can't figure out anything more general.
if n = 1, c = 1
if n = 2, c = 2
if n = 3, c = 9
if n = 4, c = 96
if n = 5, c = 2500
...
I'm sorry I can't figure out anything more general.
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Re: Old stuff
by iluvpink » Thu Apr 19, 2012 9:00 pm
Wow....
I am like learning a lot from this thread!
How many powers does the binomial expansion go up to?
Is it at most like (ax + by)^4 where 4 is the 'n'?
I have a lot to practice for next year!!! Need to make it to the school team.....
I am like learning a lot from this thread!
How many powers does the binomial expansion go up to?
Is it at most like (ax + by)^4 where 4 is the 'n'?
I have a lot to practice for next year!!! Need to make it to the school team.....
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