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3-70.

Use a generic rectangle to multiply the following expressions. Write each solution both as a sum and as a product. Homework Help ✎

  • Draw a generic rectangle and label the length and width.

  • (2x + 5) (x + 6) = 2x2 +17x + 30

  • Fill in the grid by multiplying the length and width of each box.

  • Write an equation showing the product is the sum of the parts.
    Area as a sum: 2x2 + 12x + 5x + 30 = 2x2 + 17x + 30
    Area as a product: (2x + 5)(x + 6)

  • See the help for part (a).

  • Area as product: (m − 3)(3m + 5)
    Area as sum: 3m2 − 4m − 15

  • See the help for part (a).

  • See the help for part (a).