1. Factor the following: a. 25ab-10ax - 20b + 8x b. by - 4by - ax + 4abc.ax^2 + 2x^3 + a + 2x

a. 25ab-10ax - 20b +
8x 

First we will rearrange
terms.

25ab - 20b + 8x -
10ax

Now we will factor 5b from the first 2
terms.

==> 5b(5a-4) + 8x -
10ax

Now we will factor -2x from the last two
terms.

==> 5b(5a-4) -2x( -4 +
5a)

==> 5b(5a-4) - 2x(
5a-4).

Now we will factor
(5a-4).

==> (5a-4)( 5b
-2x).

c.ax^2 + 2x^3 + a +
2x

First we will factor x^2 from the first two
terms.

==> x^2( a+ 2x) + ( a+
2x)

Now we will factor ( a+
2x).

==> (a+2x) ( x^2 +1)