CPM Homework Help : CCA Problem 11-136

Multiply the expressions below using generic rectangles.

$\left(5m-1\right)\left(m+2\right)$

Hint (a):

Make your generic rectangle and label the dimensions.

Generic rectangle
left edge top
$\color{blue}{5m}$

interior top left blank

interior top right blank

left edge bottom $\color{blue}{-1}$

interior bottom left blank

interior bottom right blank

bottom edge left $\color{blue}{m}$

bottom edge right $\color{blue}{+2}$

More Help (a):

Find the area of each of the sections, then add the areas together to get your answer.

Generic rectangle
left edge top $\color{blue}{5m}$

interior top left $\color{blue}{5m^2}$

interior top right $\color{blue}{10m}$

left edge bottom $\color{blue}{-1}$

interior bottom left $\color{blue}{-m}$

interior bottom right $\color{blue}{-2}$

bottom edge left $\color{blue}{m}$

bottom edge right $\color{blue}{+2}$ $\color{blue}{+2}$

Answer (a):

$5m^2+9m-2$

$\left(6-x\right)\left(2+x\right)$
Hint (b):
See the help for part (a).
Answer (b):
$12+4x-x^2$