Use the box method to distribute and simplify left bracket, minus, 2, x, minus, 5, right bracket, left bracket, minus, 2, x, squared, minus, x, minus, 6, right bracket, .(−2x−5)(−2x
2
−x−6). Drag and drop the terms to the correct locations of the table.
left bracket(minus−2, x2xminus−55right bracket)left bracket(minus−2, x, squared2x
2
minus−xxminus−66right bracket)
Rows:
0
Columns:
0
-4x^3
How many rows and comublms?
Apologies for the confusion. The box method does not involve rows and columns. Instead, it is used to visually distribute and simplify expressions. Here is how the box method can be used to distribute and simplify the expression (-2x-5)(-2x^2-x-6):
-2x | -5
---------------
-2x^3 | x^2
-2x^2 | -x
-12x^2 | 6x
To simplify, you add the terms in each box vertically:
-2x^3 + x^2 - 2x^2 - x - 12x^2 + 6x
Now, you can collect like terms:
-2x^3 - 14x^2 + 5x
So, the simplified expression is -2x^3 - 14x^2 + 5x.