Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of
![ax^2-bx + xy - cy](https://img.qammunity.org/2021/formulas/mathematics/college/j7mclzi3lvyy27jt5gomb69svek6fclkpt.png)
The term given is:
![(x+y)(x-6)](https://img.qammunity.org/2021/formulas/mathematics/college/slt1bs2h9b7528abqtlf80d1iakserh8i3.png)
First we will multiply the terms
![(x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y](https://img.qammunity.org/2021/formulas/mathematics/college/3sfzip3wz2q420axz3muvdsobcnk7tckrz.png)
Now comparing the product
with the given form
![ax^2-bx + xy - cy](https://img.qammunity.org/2021/formulas/mathematics/college/j7mclzi3lvyy27jt5gomb69svek6fclkpt.png)
The values of coefficients a, b and c are
a=1
b=6
c=6