View attachment 138419
Câu này làm thế nào ạ ?
[tex](1+x+x^2+x^3)^5=\left [ (1+x)(1+x^2) \right ]^5=(1+x)^5(1+x^2)^5=\sum_{k=0}^{5}.C_5^k.x^k.\sum_{i=0}^{5}.C_{5}^{i}.(x^2)^i=\sum_{k=0}^{5}.\sum_{i=0}^{5}.C_5^k.C_{5}^{i}.x^{k+2i}[/tex]
[tex]\Rightarrow \left\{\begin{matrix} 0\leq k;i\leq 5\\ k+2i=10 \end{matrix}\right.\Rightarrow (k;i)\in \left \{ (0;5);(2;4);(4;3) \right \}[/tex]