Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4) .

The box is 3 rows 2 columns and make the box using these lines _
Then put the numbers where they go

Here is the simplified version of the expression using the box method:

_ -3x^2 + 2x -6
_ -2x -4

To distribute and simplify using the box method, we start by filling in the numbers in the appropriate boxes within the 3 rows and 2 columns:

_ -3x^2 + 2x -6
_ -2x -4

We then multiply each number in the first row by each number in the second row:

_ -3x^2 + 2x -6
_ -2x -4
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6x^3 - 4x^2 + 12x
-4x^2 + 2x + 8

Finally, we combine like terms by adding or subtracting the numbers in each column:

6x^3 - 8x^2 + 14x + 2