In Exercise, explain why the given statement is true for any numbers c and d. [Hint: Look at the properties of absolute value.]
| (c − d)2| = c2 − 2cd + d2
Properties of Absolute Value
Property | Description |
1. |c| ≥ 0 | The absolute value of a number is nonnegative. |
2. If c ≠ 0, then |c| > 0. | The absolute value of a nonzero number is positive. |
3. |c| = |−c| | A number and its negative have the same absolute value. |
4. |cd| = |c| · |d| | The absolute value of the product of two numbers is the product of their absolute values. |
5. | The absolute value of the quotient of two numbers is the quotient of their absolute values. |
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