### Home > CCA > Chapter Ch6 > Lesson 6.2.1 > Problem6-59

6-59.

Copy each generic rectangle below and fill in the missing parts. Then write an equation showing the area as a product and the area as a sum. Homework Help ✎

1.  $-20xy$ $-3$ $-6x$ $-15$ $-4y$
• What should you multiply −3 by to get −6x?
Use the same logic to fill in the sides of the rectangle.

• Fill in the remaining empty squares in the rectangle.

• To write the equation as a product, multiply the polynomials on the outside of the rectangle.

• To write the equation as a sum, add the values inside the rectangle.

(5x − 3)(2x − 4y + 5) = 10x2 − 20xy + 19x +12y − 15

1.  $x$ $x^2$ $12$

• There is more than one possible solution.