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Home > AC > Chapter 6 > Lesson 6.2.3 > Problem 6-66

6-66.

Use generic rectangles to multiply each of the following expressions.

  • Draw a generic rectangle. A generic rectangle where the outside upper left edge is x and the lower left edge is + 2. The bottom left edge is x and the bottom right edge is negative 5.

  • Multiply the value of the column and the value of the row to find the value of each box in the rectangle. A generic rectangle where the outside upper left edge is x and the lower left edge is + 2. The bottom left edge is x and the bottom right edge is negative 5. The interior is labeled as follows: Upper left box is x squared. Upper right box is negative 5 x. Lower left box is 2 x. Lower right box is negative 10.

  • See the hints in part (a). A generic rectangle where the outside upper left edge is y and the lower left edge is + 2 x. The bottom left edge is y and the bottom right edge is positive 3 x.

  •   A generic rectangle where the outside upper left edge is y and the lower left edge is + 2 x. The bottom left edge is y and the bottom right edge is positive 3 x. The interior is labeled as follows: Upper left box is y squared. Upper right box is 3 x y. Lower left box is 2 x y. Lower right box is 6 x squared.

  • See the hints in parts (a) and (b).

    Generic rectangle left edge top

    interior top left blank

    interior top right blank

    left edge bottom

    interior bottom left blank

    interior bottom right blank

    left edge bottom

    right edge bottom

  • See the hints in part (a).

    Generic rectangle interior top left blank

    interior top right blank

    interior bottom left blank

    interior bottom right blank