### 5.12 Multiplication and Addition of Polynomials

Problem #

Problem Statement

Problems Similar To

1.

Solve

$$(2x+2)(4x-9)+(10x-4)(5x+4)$$

2.

A rectangular field has sides: (40 + x) ft and (40 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (5 + x) ft and (5 - x) ft respectively. Sides of the cemented region are aligned with those of the grass field. What is the area of the field covered with grass?

$$(40+x)(40-x)-(5+x)(5-x)$$

3.

A rectangular prism has length of (x + 8), width of (x - 4) and height of ($\frac{x}{5} - 9$). Write a polynomial to represent the volume of the prism.

$$(x+8)(x-4)(\frac{x}{5}-9)$$