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Which of the following represents the factored form of the expression x^2 - 9?
Practice Questions
Q1
Which of the following represents the factored form of the expression x^2 - 9?
(x - 3)(x + 3)
(x - 9)(x + 1)
(x - 1)(x + 9)
(x + 3)(x + 3)
Questions & Step-by-Step Solutions
Which of the following represents the factored form of the expression x^2 - 9?
Steps
Concepts
Step 1: Identify the expression you have, which is x^2 - 9.
Step 2: Recognize that x^2 - 9 is a special type of expression called a 'difference of squares'.
Step 3: Understand that a difference of squares can be factored using the formula a^2 - b^2 = (a - b)(a + b).
Step 4: In this case, a is x and b is 3 because 9 is 3^2.
Step 5: Apply the formula: Replace a with x and b with 3 in the formula (a - b)(a + b).
Step 6: Write the factored form as (x - 3)(x + 3).
No concepts available.
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