(3-2x)(3+2x) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (3 - 2x)(3 + 2x)

This expression is a classic example of the difference of squares pattern.

Understanding the Difference of Squares

The difference of squares pattern is a useful algebraic shortcut. It states:

(a - b)(a + b) = a² - b²

Applying the Pattern

In our expression, (3 - 2x)(3 + 2x):

• a = 3
• b = 2x

Applying the pattern, we get:

(3 - 2x)(3 + 2x) = 3² - (2x)²

Simplifying the Expression

Simplifying further:

• 3² = 9
• (2x)² = 4x²

Therefore, the expanded form of (3 - 2x)(3 + 2x) is:

(3 - 2x)(3 + 2x) = 9 - 4x²