(−x 2 −x)(−6x−5)

Use the box method to distribute and simplify

1 answer

To use the box method to distribute and simplify the expression (-x^2 -x)(-6x -5), we will create a 2x2 box:

| -x | -1
--------------------
-6x | 6x^2 | 6x
-5 | 5x | 5

Now, we will fill in each box by multiplying the terms in each row and column:

1. (-x) * (-6x) = 6x^2
2. (-x) * (-5) = 5x
3. (-1) * (-6x) = 6x
4. (-1) * (-5) = 5

Now, we will combine like terms to simplify:

6x^2 + 5x + 6x + 5
Combine like terms:
6x^2 + 11x + 5

Therefore, the simplified expression of (-x^2 -x)(-6x -5) is 6x^2 + 11x + 5.