Final answer:
The product of 6x - y and 2x - y + 2 is 12x^2 - 6xy + 12x + y^2 - 2y.
Step-by-step explanation:
To find the product of the polynomials 6x - y and 2x - y + 2, we can use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial and then add the resulting products:
(6x)(2x) - (6x)(y) + (6x)(2) - (y)(2x) + (y)(y) - (y)(2)
Simplifying, we get:
12x^2 - 4xy + 12x - 2xy + y^2 - 2y
Combining like terms, we have:
12x^2 - 6xy + 12x + y^2 - 2y