Problem 83
Question
State the name of the property illustrated. $$\frac{1}{(x+3)}(x+3)=1, x \neq-3$$
Step-by-Step Solution
Verified Answer
The property illustrated in the given exercise is the Division Property of 1.
1Step 1: Identify the Operation
First observe the equation, it consists of a division of (x+3) by itself, which means the problem involves division.
2Step 2: Recognize the Property from the Operation
Based on the operation, the property highlighted here is the division property of 1. Any number (excluding zero) divided by itself results in 1.
3Step 3: Verify the Result
The left side of the equation \(\frac{1}{(x+3)}(x+3)\) simplifies to 1, and the right side is given as 1. Therefore, the equation holds true.
Other exercises in this chapter
Problem 83
In Exercises \(83-90\), evaluate each expression without using a calculator. $$36^{\frac{1}{2}}$$
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In Exercises 83–90, perform the indicated operation or operations. $$(3 x+4 y)^{2}-(3 x-4 y)^{2}$$
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Factor completely, or state that the polynomial is prime. $$48 y^{4}-3 y^{2}$$
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Write each number in scientific notation. $$0.0083$$
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