(−x^2 −x)(−6x−5)

Question

Use the box method to distribute and simplify

Answer 1

To simplify the expression using the box method, we can create a box with two columns and two rows.

First, list the terms horizontally at the top of the box:

-6x -5
----------
-x^2
-x

Next, fill in the boxes by multiplying the terms in each row and column:

-6x -5
-------------------
-x^2 |-6x^3 -5x^2
-x | 6x^2 5x

Now, add the terms in each box:

-6x^3 + (-5x^2) + 6x^2 + 5x

Combine like terms to simplify:

-6x^3 +6x^2 -5x^2 + 5x
-6x^3 + x^2 +5x

Thus, the simplified expression is -6x^3 + x^2 +5x.