Question

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

Answer 1

16x^3 − 50x^2 − 23x + 30

Explanation:

First multiply 8x by the whole expression.

8x(2x^2 − 5x − 6)=16x^3-40x^2-48x.

Then multiply -5(2x^2 − 5x − 6)=-10x^2+25x-48x+30.

Add the 2 answers together.

16x^3-40x^2-10x^2+25x-48x+30=16x^3 − 50x^2 − 23x + 30

Answer is 16x^3 − 50x^2 − 23x + 30

Hope this helps!

If not, I am sorry.

Answer 2

= 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.