Question

Help please! - Binomial expansion!

Answer 1

\[(1+\frac{ x }{ 2 })^5\]

Answer 2

I've been taught to do it as \[NcR (1)(?x)\]

Answer 3

Basically to put NCR into my calculator - so can it be explained this way please :3

Answer 4

(1+x)^n=?

Answer 5

Similar to that, so for another question I did \[(1+4x)^3\]

Answer 6

I would put \[(3c1)(1)^2(4x)\]

Answer 7

Until I reached \[(3c3)(1)^0(4x)^3\]

Answer 8

At which point I would stop, but how would I apply this to the question above?

Answer 9

Small ones - just build it

0 - 1*1^5*(x/2)^0
1 - 5*1^4*(x/2)^1
2 - 10*1^3*(x/2)^2
3 - 10*1^2*(x/2)^3
4 - 5*1^1*(x/2)^4
5 - 1*1^0*(x/2)^5

0 - 1*1^3*(4x)^0
1 - 3*1^2*(4x)^1
2 - 3*1^1*(4x)^2
3 - 1*1^0*(4x)^3