Respuesta :

iven:

here are givren the expression:

[tex](2z-y)^{20}[/tex]

xplanation:

o find the coefficient of the given expression, we need to use the binomial expansion formula:

So,

From the formula of binomial expansion:

[tex](x+y)^n=\sum_{k\mathop{=}0}^n(n,k)x^ky^{n-k}[/tex]

then,

After using the above formula in the given binomial, the expansion will be:

[tex](2z-y)^{20}=y^{20}-40y^{19}z+760y^{18}z^2-9120y^{17}z^3+77520y^{16}z^4-496128y^{15}z^5+...[/tex]

inal answer:

ence , the coefficient of the given term is shown below:

[tex]77520[/tex]