Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4)
It's 3 rows 2 columns and
-2x and -4 gomon top the rest on the side
And make sure atripple check to see if ur right and simplify eveything
To simplify the expression (-3x^2 + 2x - 6)(-2x - 4) using the box method, we create a box with three rows and two columns:
| -2x | -4
---------------------------
-3x^2 | |
---------------------------
2x | |
---------------------------
-6 | |
Now, distribute each term from the first factor (-3x^2 + 2x - 6) across the columns, and each term from the second factor (-2x - 4) across the rows:
| -2x | -4
---------------------------
-3x^2 | 6x^3 | 12x^2
---------------------------
2x | -4x^2 | -8x
---------------------------
-6 | 12 | 24
To simplify, add the terms in each box:
6x^3 + 12x^2 - 4x^2 + 24x - 8x + 12
Combine like terms:
6x^3 + 8x^2 + 16x + 12
After simplification, the expression becomes 6x^3 + 8x^2 + 16x + 12.