Q:

Choose the correct simplification of the expression (8x − 5)(2x^2 − 5x − 6).

Accepted Solution

A:
= 16x^3 - 30x^2 - 73x + 30

I used the long multiplication method, which is this:

1. Put the smaller expression under the longer one, as if you were multiplying like this(but with the expressions):

 10
x 1
----

Solve the operations as if you would the multiplication operation above, following all variable rules and do not worry about carrying over. What this should look like is:

                  2x^2 - 5x - 6
                             8x - 5
                 ------------------
                10x^2 - 25x + 30
 + 16x^2 - 40x^2 - 48x +  0
-------------------------------------

After that, add.