### Home > CCA2 > Chapter 3 > Lesson 3.1.2 > Problem 3-23

3-23.

Decide whether each of the following pairs of expressions are equivalent for all values of (or

*and*

*). If they are equivalent, show how you can be sure. If they are not, justify your reasoning completely.*

and Try substituting numbers for

and simplifying each expression.and can give different results, so check them as well as other numbers. These two expressions are not equivalent. (But if you had only used

you might have thought they were).

and Remember that

means and multiply. These two expressions are equivalent.

and Multiply and simplify.

These two expressions are equivalent.

and Simplify the first expression and compare. Be sure you read the hint in part (b).

and See part (a).

andTry substituting numbers for

and.