Which model represents the factors of4x2−9?4x^2-9?4x2−9?

Step 1: Define the Problem

Identify the key components of the question that need to be addressed:

• We need to factor the expression $4x^2 - 9$.

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

• Recognize that $4x^2 - 9$ is a difference of squares.

Step 3: Apply Relevant Concepts

Use appropriate academic theories or formulas to solve each part of the problem:

• The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$.

Step 4: Analysis, Verify and Summarize

Analysis each part in detail if necessary, carry out the calculations by steps. Verify the calculations result and summarize the findings:

• Identify $a^2 = 4x^2$ and $b^2 = 9$.
• Thus, $a = 2x$ and $b = 3$.
• Apply the formula: $4x^2 - 9 = (2x - 3)(2x + 3)$.

Final Answer

Present the final result in a concise manner:

• The factors of $4x^2 - 9$ are $(2x - 3)(2x + 3)$.