C4 Binomial Expansion Watch

fortunecookie
Badges: 16
Rep:
?
#1
Report Thread starter 7 years ago
#1
Write up to x^3

(x^2+3)/ cubed root(8-x)^2

I rewrote as (X^2 +2) x ((8 - x)^2)^-1/3)

Then I tried to rewrite the second part in a (1-u) way. But wasn't sure what to take out as a factor. Because 8^2^-1/3 is 1/4. Or whether to expand the bracket in the cube root.

I really appreciate any help anyone can offer
0
quote
reply
ghostwalker
  • Study Helper
Badges: 15
#2
Report 7 years ago
#2
(Original post by fortunecookie)
Write up to x^3

(x^2+3)/ cubed root(8-x)^2

I rewrote as (X^2 +2) x ((8 - x)^2)^-1/3)

Then I tried to rewrite the second part in a (1-u) way.
Good thinking.

But wasn't sure what to take out as a factor. Because 8^2^-1/3 is 1/4. Or whether to expand the bracket in the cube root.

I really appreciate any help anyone can offer
Re-writing it, you have:

(X^2 +2) x ((8 - x))^-2/3)

So, as you first thought you want to get rid of that 8, giving:

(X^2 +2) x (1/4) ((1 - x/8))^-2/3)

And go from there.
quote
reply
ztibor
Badges: 8
Rep:
?
#3
Report 7 years ago
#3
(Original post by fortunecookie)
Write up to x^3

(x^2+3)/ cubed root(8-x)^2

I rewrote as (X^2 +2) x ((8 - x)^2)^-1/3)

Then I tried to rewrite the second part in a (1-u) way. But wasn't sure what to take out as a factor. Because 8^2^-1/3 is 1/4. Or whether to expand the bracket in the cube root.

I really appreciate any help anyone can offer
You are on the right way
Taking out 8 as factor from the second part
1/4 x (1-x/8)^(-2/3)
Expand this
0
quote
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Fri, 14 Dec '18
  • University of Lincoln
    Mini Open Day at the Brayford Campus Undergraduate
    Wed, 19 Dec '18
  • University of East Anglia
    UEA Mini Open Day Undergraduate
    Fri, 4 Jan '19

Were you ever put in isolation at school?

Yes (84)
26.01%
No (239)
73.99%

Watched Threads

View All