# Binomial Expansion HelpWatch

#1
Expand completely and simplify the terms:
(x+2/x)^4
would I take a factor of X out
x^4 (1+2/x^2 )^4 and now expand??
0
4 weeks ago
#2
(Original post by jsb00)
Expand completely and simplify the terms:
(x+2/x)^4
would I take a factor of X out
x^4 (1+2/x^2 )^4 and now expand??
Given that the power is a relatively small positive integer, I would expand immediately.
Last edited by BuryMathsTutor; 4 weeks ago
0
#3
(Original post by BuryMathsTutor)
Given that the power is a relatively small positive integer, I would expand immediately.
I expanded using (a+b)^n from AS Maths
to get x^4 +8x^2 +24 + 32x^-2 + 16x^-4
2
4 weeks ago
#4
(Original post by jsb00)
I expanded using (a+b)^n from AS Maths
to get x^4 +8x^2 +24 + 32x^-2 + 16x^-4
Almost .... you've got your indices wrong. (binomial coeffs & powers of 2 are correct)
0
4 weeks ago
#5
(Original post by jsb00)
I expanded using (a+b)^n from AS Maths
to get x^4 +8x^2 +24 + 32x^-2 + 16x^-4

That is correct.
0
4 weeks ago
#6
Yeah it looks like you have it. Solve that sh!t!
0
4 weeks ago
#7
(Original post by BuryMathsTutor)
That is correct.
Yes. I misread the brackets in the original.
0
4 weeks ago
#8
making the first term 1 is only compulsory if the index is not a positive whole number. in this case the index is 4 so you can expand ab initio.
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