### Home > MC2 > Chapter 5 > Lesson 5.2.2 > Problem 5-56

5-56.

Write the following expressions in two ways, one with parentheses and one without. For example,

A number reduced by

, then multiplied by . Reducing by

means you first need to subtract from a number. We will call this unknown number . Then you will multiply that value by. A number reduced by

: Then multiplied by

: Use the Distributive Property to multiply every term inside the parentheses by

. A number increased by

, then multiplied by . See part (a).

Ten times a number, then add twenty.

Ten times a number is

. Then add twenty to that to get: Since

is a factor of both terms, we can factor out a to get the following expression: Check your answer by using the Distributive Property.