Help me please

[Saggitarius]

 

[Deleted member 4993]

View attachment 26583

I assume that you need the coefficients of the terms with x¹² and x²⁰.

Can you expand (1 + 2x - x² )¹⁰?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

 

[Saggitarius]

I assume that you need the coefficients of the terms with x¹² and x²⁰.

Can you expand (1 + 2x - x² )¹⁰?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

Hi, I know bimomical theorem, but I dont know how to use it, when I have three members of polynomial.

 

[Deleted member 4993]

Hi, I know bimomical theorem, but I dont know how to use it, when I have three members of polynomial.

assume

A = 1 and

B = 2x - x^2

Then expand using binomial theorem.

 

[pka]

\(x^{20} - 20 x^{19} + 170 x^{18} - 780 x^{17} + 1965 x^{16} - 2064 x^{15} - 1800 x^{14} + 6480 x^{13} - 1710 x^{12} - 8600 x^{11} + 3772 x^{10} + 8600 x^9 - 1710 x^8 - 6480 x^7 - 1800 x^6 + 2064 x^5 + 1965 x^4 + 780 x^3 + 170 x^2 + 20 x + 1\)