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What is the result of (2x + 3)(2x - 3)?
What is the result of (2x + 3)(2x - 3)?
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Practice Questions
1 question
Q1
What is the result of (2x + 3)(2x - 3)?
4x² - 9
4x² + 9
4x² - 6
6x² - 9
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(2x + 3)(2x - 3) = 4x² - 9 by the difference of squares.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the result of (2x + 3)(2x - 3)?
Solution:
(2x + 3)(2x - 3) = 4x² - 9 by the difference of squares.
Steps: 8
Show Steps
Step 1: Identify the expression you need to simplify: (2x + 3)(2x - 3).
Step 2: Recognize that this expression is in the form of (a + b)(a - b), which is a difference of squares.
Step 3: In this case, a = 2x and b = 3.
Step 4: Apply the difference of squares formula: (a + b)(a - b) = a² - b².
Step 5: Calculate a²: (2x)² = 4x².
Step 6: Calculate b²: (3)² = 9.
Step 7: Substitute these values into the formula: 4x² - 9.
Step 8: Write the final result: (2x + 3)(2x - 3) = 4x² - 9.
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