Question 24355
<pre><b>              <font size = 3>               (3b + 2/3)(6b - 1/3) 
Use FOIL:
                 (3b)(6b) - (3b)(1/3) + (2/3)(6b) - (2/3)(1/3)
                     <font face = "symbol">¯</font>          <font face = "symbol">¯</font>            <font face = "symbol">¯</font>          <font face = "symbol">¯</font>  
                    18b<sup>2</sup>  -     b     +     4b    -    2/9
                       
                             18b<sup>2</sup> + 3b - 2/9  



                                      4xy<sup>3</sup>(2x-y)(3x+y)

Use FOIL on the two parenthetical expressions  

                                   4xy<sup>3</sup>(6x<sup>2</sup>+2xy-3yx-y<sup>2</sup>)

Combine like terms, realizing that xy and yx are the same

                                     4xy<sup>3</sup>(6x<sup>2</sup>-xy-y<sup>2</sup>)

Use distributive principle:
                                 24x<sup>3</sup>y<sup>3</sup> - 4x<sup>2</sup>y<sup>4</sup> - 4xy<sup>5</sup>

Edwin
AnlytcPhil@aol.com</pre>