iven:
here are givren the expression:
![(2z-y)^(20)](https://img.qammunity.org/2023/formulas/mathematics/college/t4cgfrhv2m8ckgqc07cobpkv55xmnk4y44.png)
xplanation:
o find the coefficient of the given expression, we need to use the binomial expansion formula:
So,
From the formula of binomial expansion:
![(x+y)^n=\sum_{k\mathop{=}0}^n(n,k)x^ky^(n-k)](https://img.qammunity.org/2023/formulas/mathematics/college/oc3l4dlap1ildt10p3e3t5aicj10a4oecd.png)
then,
After using the above formula in the given binomial, the expansion will be:
![(2z-y)^(20)=y^(20)-40y^(19)z+760y^(18)z^2-9120y^(17)z^3+77520y^(16)z^4-496128y^(15)z^5+...](https://img.qammunity.org/2023/formulas/mathematics/college/8kfxsqatjt738yevcrzs2twumh742mjzy1.png)
inal answer:
ence , the coefficient of the given term is shown below:
![77520](https://img.qammunity.org/2023/formulas/mathematics/college/tm24k1puhhiqp1mrxdlqz2sdfhim63s43t.png)