Draw an area model for each expression. Then write an equivalence statement for the area as a product and as a sum. Homework Help ✎

1. $(x+3)(2x+1)$

   Hint (a):

   Remember, each term in the expression is placed on the outside of the box.

   

   Answer (a):

   Be sure to include the diagram above. Here is the equivalence statement:
   
   $2x^2+7x+3$

2. $2x(x+5)$

   Hint (b):

   Refer to hint (a) when drawing the area model.

3. $x(2x+y)$

   Hint (c):

   $2x^2+xy$

4. $(2x+5)(x+y+2)$

   Answer (d):

   $2x^2+2xy+9x+5y+10$