Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4)
The box is 3 rows 2 columns
-2x and -4 go on top the rest on the side
And make sure everything I simplified and right and don't put 12 cause it's worng
To use the box method to distribute and simplify (-3x^2 + 2x - 6)(-2x - 4), we create a 3x2 box.
First, we multiply the terms in the top row by the terms in the side column:
Top Row: -2x * -3x^2 = 6x^3
Top Row: -2x * 2x = -4x^2
Side Column: -4 * -3x^2 = 12x^2
Side Column: -4 * 2x = -8x
Then, we fill in the remaining boxes by multiplying the corresponding terms:
Center: -3x^2 * -2x = 6x^3
Center: 2x * -4 = -8x
Next, we simplify each box:
Top Left Box: 6x^3
Top Right Box: -4x^2
Bottom Left Box: 12x^2
Bottom Right Box: -8x
Finally, we combine like terms:
6x^3 + (-4x^2) + 12x^2 + (-8x) = 6x^3 + 8x^2 - 8x
So, (-3x^2 + 2x - 6)(-2x - 4) simplifies to 6x^3 + 8x^2 - 8x.