(3+7v^2)(3-7v^2)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (3 + 7v^2)(3 - 7v^2)

This expression is a product of two binomials, which can be expanded using the difference of squares pattern.

The difference of squares pattern states: (a + b)(a - b) = a² - b²

Applying this to our expression:

• Let a = 3
• Let b = 7v²

Therefore: (3 + 7v²)(3 - 7v²) = 3² - (7v²)²

Expanding:

• 3² = 9
• (7v²)² = 49v⁴

Final Expanded Expression: (3 + 7v²)(3 - 7v²) = 9 - 49v⁴

In conclusion, expanding the expression (3 + 7v²)(3 - 7v²) using the difference of squares pattern results in 9 - 49v⁴.