Respuesta :
Answer: The coefficient of [tex]x^6y^4\ term[/tex] is 210.
Step-by-step explanation:
Since we have given that
[tex](x+y)^{10}[/tex]
We need to find the [tex]x^6y^4\ term[/tex]
so, we will use "Binomial rule ":
[tex]T_{r+1}=T_6=^{10}C_{6}x^6y^4\\\\\text{So, the coefficient of }x^6y^4\ will\ be\\\\^{10C_6\\\\=\frac{10!}{6!\times 4!}\\\\=\frac{10\times 9\times 8\times 7}{4\times 3\times 3\times 2\times 1}\\\\=210[/tex]
Hence, the coefficient of [tex]x^6y^4\ term[/tex] is 210.
