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

Answer 1

To distribute (-3x^2 + 2x - 6)(-2x - 4) using the box method, you can draw a 2x2 box and divide it into four cells:

| -2x | -4 |
|________|______|
| | |
| | |

Next, write the terms of the first expression (-3x^2 + 2x - 6) on the left side of the box and the terms of the second expression (-2x - 4) on the top:

| -2x | -4 |
|________|______|
| -3x^2 | 2x |
| -6 | |

Multiply the values in each cell:

| -2x | -4 |
|________|______|
| -3x^2 | 2x^2 |
| -6 | 4x |

Combine like terms:

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

Simplify:

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

= -x^2 + 2x - 10