Now that you have the idea, we can do some other expansions.  We'll just change the a and b.
 

Let's expand( x + 2 )^( 4 )

          From Pascal's triangle, we'll use these coefficients:

1 , 4 , 6 , 4 , 1

          Here we go!

  ( x + 2 )^( 4 )  =  1x^( 4 ) + 4x^( 3 )2^( 1 ) + 6x^( 2 )2^( 2 ) + 4x^( 1 )2^( 3 ) + ( 1 )2^( 4 )
Since this is a number, we'll have some clean-up.

= x^( 4 ) + 8x^( 3 ) + 24x^( 2 ) + 32x + 16

 


YOUR TURN:

Expand( y + 3 )^( 3 )