Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4) .
The box is 3 row and 2 columns that's what it ses
Make the box using these ( ) and put the numbers in them
Here's the box representation:
| | | |
|____|____|___|
| | | |
|____|____|___|
| | | |
|____|____|___|
Now, we'll distribute the terms into the box:
| -3x^2 | 2x | -6 |
|____|____|____|
| 6x^3 | -4x^2 | 12x |
|____|____|___|
|12 | -8 | 24 |
|____|____|___|
The numbers in each box represent the products of the corresponding terms from each factor.
Now, let's simplify by combining like terms:
-3x^2 * -2x = 6x^3
2x * -2x = -4x^2
-6 * -2x = 12x
-3x^2 * -4 = 12x^2
2x * -4 = -8x
-6 * -4 = 24
Putting all the simplified terms together:
6x^3 - 4x^2 + 12x^2 + 12x - 8x + 24
Simplifying further:
6x^3 + 8x^2 + 4x + 24