CPM Homework Help : INT2 Problem 2-106

CPM Homework Banner

CPM Homework Banner

Home > INT2 > Chapter 2 > Lesson 2.3.3 > Problem 2-106

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.
$3$
$6x$
$3$
$x$
$2x^2$
$x$
$2x$
$1$
Answer (a):
Be sure to include the diagram above. Here is the equivalence statement:

$2x^2+7x+3$

$2x(x+5)$
Hint (b):
Refer to hint (a) when drawing the area model.

$x(2x+y)$
Hint (c):
$2x^2+xy$

$(2x+5)(x+y+2)$
Answer (d):
$2x^2+2xy+9x+5y+10$

© 2019 CPM Educational Program. All rights reserved.