Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4) .
Replace the question marks with the number that should be in their place
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To distribute and simplify the expression (- 3x ^ 2 + 2x - 6)(- 2x - 4) using the box method, we create a 2x2 box with two columns and two rows:
-3x^2 +2x -6
-2x
-4
We then multiply the terms in each row and column:
-3x^2 +2x -6
-2x 6x^3 -4x^2 12x
-4 8x -4x 24
Next, we add up all the multiplied terms in each box:
-3x^2 +2x -6
-2x 6x^3 -4x^2 12x
-4 8x -4x 24
Finally, we combine like terms in each column to simplify:
-3x^2 +2x -6
-2x 6x^3-2x -4x^2+8x 12x-4
-4 8x -4x 24
Therefore, the simplified expression is 6x^3-2x -4x^2+8x + 12x-4, or rearranged as 6x^3 - 4x^2 + 18x - 4.