### Home > CAAC > Chapter 12 > Lesson 12.1.2 > Problem12-18

12-18.

Multiply the expressions below using generic rectangles.

1.  $(5m−1)(m+2)$

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.  $(6−x)(2+x)$

See the help for part (a).

$12+4x−x^2$

1.  $(5x−y)^2$

See the help for part (a).

1.  $3x(2x−5y+4)$

See the help for part (a).