Problem 101 - Algebra and Trigonometry

Question

Write each algebraic expression without parentheses. $$\frac{1}{3}(3 x)+[(4 y)+(-4 y)]$$

Step-by-Step Solution

Answer

The algebraic expression without parentheses is \(x\).

Step 1: Distribute the fraction

To begin with, distribute the fraction of 1/3 to the term within the parentheses. This gives: \( \frac{1}{3} \times 3x = x \)

Step 2: Simplify the square brackets.

Next, simplify the terms within the square brackets. This gives: \(4y + -4y = 0\)

Step 3: Combine the terms

Finally, add together the results from step one and step two: \(x + 0 = x\)