anonymous
  • anonymous
How do I expand (2g+2)^8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Shayaan_Mustafa
  • Shayaan_Mustafa
do you know binomial theorem?
anonymous
  • anonymous
no :(
Shayaan_Mustafa
  • Shayaan_Mustafa
hmmm... it is much long and complicated. Do you know what is factorial?

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Shayaan_Mustafa
  • Shayaan_Mustafa
here is the link. and try to understand. i will surely help you. http://www.intmath.com/series-binomial-theorem/4-binomial-theorem.php
anonymous
  • anonymous
thank you
Shayaan_Mustafa
  • Shayaan_Mustafa
welcome.
anonymous
  • anonymous
If I were to expand (3-t)^3 is it 3^3+3(3^2-t)+3(3-t^2)-t^2
Shayaan_Mustafa
  • Shayaan_Mustafa
no... did you use it correctly?
anonymous
  • anonymous
i think so. what did i do wrong?
Shayaan_Mustafa
  • Shayaan_Mustafa
here your brackets are wrong. they should look like this. 3(3^2)t and 3(3)t^2
Shayaan_Mustafa
  • Shayaan_Mustafa
do you want to learn basic of binomial theorem?
anonymous
  • anonymous
sure :D
Shayaan_Mustafa
  • Shayaan_Mustafa
ok. it will take much time. let us start. do you know the formula (a+b)^2=a^2+2ab+b^2
anonymous
  • anonymous
yea
Shayaan_Mustafa
  • Shayaan_Mustafa
good. it is also a binomial theorem. Notice that here power two indicates that when we expand our formula, we get one more term than the no. of exponent. Here exponent is 2 while when we expanded then we got 3 terms.
anonymous
  • anonymous
ok
Shayaan_Mustafa
  • Shayaan_Mustafa
similarly, I hope you know the formula (a+b)^3=a^3+3a^2b+3ab^2+b^3 here exponent is 3 while expanded terms are 4. This implies that expanded terms will always be one more than the exponent. Now is it clear?
anonymous
  • anonymous
oo I think I get it now. Thank you.
Shayaan_Mustafa
  • Shayaan_Mustafa
welcome. ok now make a step ahead. here is binomial formula. \[(a+b)^{n}=C _{0}^{n}a ^{n}+C _{1}^{n}a ^{n-1}b+C _{2}^{n}a ^{n-2}b ^{2}.....\] Where C stands for combination. in general this combination is written as, \[C _{r}^{n}=n!/(r!(n-r)!)\] now in above formula is constantly increasing, r=0,r=1,r=2.......

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