Problem 101
Question
Write each algebraic expression without parentheses. $$\frac{1}{3}(3 x)+[(4 y)+(-4 y)]$$
Step-by-Step Solution
Verified Answer
The simplified expression without parentheses is \(x\).
1Step 1: Distribute the Fraction
Multiply the term outside the parentheses (\(\frac{1}{3}\)) with each term inside the parentheses (\(3x\)): \(\frac{1}{3} \cdot 3x = x\). So the first part of the expression simplifies to \(x\).
2Step 2: Simplify the Terms Inside the Brackets
Evaluate the terms inside the square brackets (\(4y + -4y\)) by adding up the like terms. This equals to 0 as they are same magnitude but opposite sign, so they cancel each other out.
3Step 3: Write the Final Expression
Combine the simplified parts obtained in step 1 and step 2 to write the final expression, which is \(x + 0\) or simply \(x\).
Other exercises in this chapter
Problem 101
Explain how to square a binomial difference. Give an example with your explanation.
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{x^{2}-25}{x-5}=x
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