(3-7v%5E2).jpeg "(3+7v^2)(3-7v^2)")
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.