Squaring a binomial & completing a square trinomial

 (after seeing Justin's Mom, Valerie, use the squares and strips to show regular multiplication)

 

We'll show that (a+b)2 = a2 + 2ab + b2 with the following pictures:

 

64 = 82 = (5+3)2   (or some other combination of 8)

 

 

Can you make up another one like this with the squares?

 

How about  (x + 4) 2 , below

 

 

 

 

Fill in the 2 blanks to make this true:   (x + _ ) 2  = x2 + 10x + _

 

What about  (x + y ) 2  =

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