### Home > CCA > Chapter 11 > Lesson 11.3.5 > Problem11-136

11-136.

Multiply the expressions below using generic rectangles.

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

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$\color{blue}{+2}$

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}$

$5m^2+9m-2$

1. $\left(6-x\right)\left(2+x\right)$

See the help for part (a).

$12+4x-x^2$

1. $\left(5x-y\right)^2$

See the help for part (a).

1. $3x\left(2x-5y+4\right)$

See the help for part (a).