CPM Homework Help : INT2 Problem 2-106

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

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

Hint (a):

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

generic rectangle left edge top is $3$

interior top left is $6x$

interior top right is $3$

left bottom edge is $x$

interior bottom left is $2x^2$

interior bottom right is $x$

bottom left edge is $2x$

bottom right edge is $1$

Answer (a):

Be sure to include the diagram above. Here is the equivalence statement:

$2x^2+7x+3$