CPM Homework Help : AC Problem 5-85

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Home > AC > Chapter 5 > Lesson 5.2.3 > Problem 5-85

5-85.

Find each of the following products by drawing and labeling a generic rectangle or by using the Distributive Property.

$(x+2)(x+8)$
Step 1(a):
Create a generic rectangle.
Step 2(a):
Put the products on the outside.
Step 3(a):
Multiply the expressions.
Step 4(a):
Write the areas as a sum.
$x^2+2x+8x+16$
Answer (a):
$\left(x+2\right)\left(x+8\right)=x^2+10x+16$

$(2m+30)(m+20)$
Hint (b):
Follow the steps in part (a).

$x(y+10)$
Hint (c):
Use the Distributive Property.
Answer (c):
$x(y+10)=xy+10x$

$(2x+3)(3x+4)$
Hint (d):
Follow the steps in part (a).
Answer (d):
$\left(2x+3\right)\left(3x+4\right)=6x^2+17x+12$

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