anonymous
  • anonymous
Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.) (x + 5y)^10, n = 4 A. 210x^6y^4 B. 15,000x^7y^3 C. 210x^6y^4 D. 9,765,625y^10 E. 5040x^6y^4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
n=10? I believe??? \
anonymous
  • anonymous
nevermind... term in the expansion
anonymous
  • anonymous
which is a different variable rth term of expansion

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More answers

anonymous
  • anonymous
I guess I understand how to write it all out just not how to simplify it correctly to get a condensed answer like the ones they provide
anonymous
  • anonymous
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54_bi_theor.htm Look at example 8... if you have problems I'll do it out for you
amistre64
  • amistre64
pascals triangle
anonymous
  • anonymous
Ha ha I'm on that site right now trying to work it out lol Does it matter though if it's rth term or nth term?
anonymous
  • anonymous
doesn't matter coz thats just a variable
amistre64
  • amistre64
1 1,1 1,2,1 1,3,3,1 1,4,6,4,1 1,5,10,10,5,1 1,6,15,20,15,6,1 1,7,21,35,35,21,7,1 1,8,28,56,70,56,28,8,1 1,9,36,84,126,126,84,36,9,1 1,10,45,120,210, ....
anonymous
  • anonymous
well if you are following the site, the rth term is 4, the nth term is 10
amistre64
  • amistre64
120 (x^7) (y^3)
anonymous
  • anonymous
answer is b though
amistre64
  • amistre64
120 (x^7) ((5y)^3)
amistre64
  • amistre64
120.125 x^7 y^3 15000 x^7 y^3
amistre64
  • amistre64
BBBBBBBBBB
anonymous
  • anonymous
\[{10 \choose 4 }=210\] 4th term is \[210 x^6 (5y)^4\]
anonymous
  • anonymous
of course i could be wrong. the 'n=4' is not clear.
amistre64
  • amistre64
lol..... im prolly wrong :)
anonymous
  • anonymous
wow ok the answer I got isn't even close to any of these.... I got 100800x^7125y^3....not quite sure what id id wrong
amistre64
  • amistre64
the 4th term is 120 x^7 y^3 as a standard... tehn you have to account for the coeefs in the original problem....namely the +5 attached to the y
amistre64
  • amistre64
120 x^7 (5y)^3
amistre64
  • amistre64
120.125 x^7 y^3 15000 x^7 y^3 :)
anonymous
  • anonymous
oh ok makes sense ok Can I try another one on my own and have you check it?
amistre64
  • amistre64
sure; but you can check it with pascals triangle; i posted that first to like half the 10th spot ;)
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
ok the problem is: Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.) (x - 2y)^12, n = 6 I got 760x^7y^5 which is definitly not one of my answer choices....
amistre64
  • amistre64
at 6 eh 12 11 10 9 8 7 x^6 y^6 is gonne be the variable answers
amistre64
  • amistre64
you got any with ony an x^6 y^6 as an asnswer?
anonymous
  • anonymous
oh it's cause I used the 12 instead of the six let me try it again....
amistre64
  • amistre64
ack..you were right with the x and y lol...i lost count :)
amistre64
  • amistre64
x^7 y^5 is the 6th term
anonymous
  • anonymous
oh ok so I was right now....idk how I got the 760.... cause that's nowhere close to their choices
amistre64
  • amistre64
lol..... which choice has the right x and y parts?
amistre64
  • amistre64
narrow it down if its multiple choice ;)
anonymous
  • anonymous
- 25,344, but that just doesn't seem right to me oh well I guess
amistre64
  • amistre64
well lets play detective shall we :) is the - part correct? -2^5 = a negative right? so i believe the negative is right... if its got the right x and y parts, then its a sure shot
anonymous
  • anonymous
ok well thank you very much!
anonymous
  • anonymous
Do you know the binomial theorem?! It's quite easy to do it using this theorem.
anonymous
  • anonymous
learning it I think i just have to keep practicing using cause I get numbers mixed up and stuff
anonymous
  • anonymous
I see.
anonymous
  • anonymous
ya it's weird I can find the x and y parts but the number before I somehow lkeep messing up

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