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Here are the expanded forms of the given expressions:
1. (a + 9) (a + 9)
- This is a perfect square trinomial. Expand it as follows:
(a + 9)² = a² + 2 * 9 * a + 9² = a² + 18a + 81
2. (3 - 4a) (3 + 4a)
- This is a difference of squares. Expand it as follows:
(3 - 4a)(3 + 4a) = 3² - (4a)² = 9 - 16a²
3. (a - 6b) (a + 6b)
- This is a difference of squares. Expand it as follows:
(a - 6b)(a + 6b) = a² - (6b)² = a² - 36b²
4. (2a + b) (2a - b)
- This is a difference of squares. Expand it as follows:
(2a + b)(2a - b) = (2a)² - b² = 4a² - b²
5. (a + b) (a + b)
- This is a perfect square trinomial. Expand it as follows:
(a + b)² = a² + 2ab + b²