Write an equation for each situation below showing that the area as a product is equal to the area as a sum. Homework Help ✎
Review the Math Notes box in Lesson 3.2.2.
(12x + 1)(x − 5) = 12x2 − 59x − 5
See part (a).
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)d.
See the help for part (c).