Question

What is the product of 6x – y and 2x – y + 2?

Answer 1

12
`x^(2)` - 8xy + 12x +
`y^(2)` -2y

Explanation:

First I took 2x - y and multiplied it by 6x

6x(2x - y + 2)

12
`x^(2)` - 6xy + 12x

Then I multiplied 2x - y by -y

-y(2x -y +2)

-2xy +
`y^(2)` -2y

Then I added together the two bold expressions

12
`x^(2)` - 6xy + 12x -2xy +
`y^(2)` - 2y

12
`x^(2)` - 8xy + 12x +
`y^(2)` - 2y

Helping in the name of Jesus.

Answer 2

`(6x - y)(2x - y + 2) \\ 12 {x}^(2) - 6xy + 12x - 2xy + {y}^(2) - 2y \\ 12 {x}^(2) + {y}^(2) - 6xy - 2xy + 12x - 2y \\ 12 {x}^(2) + {y}^(2) - 8xy + 12x - 2y`