(12a-1)² - 1 = (a² - 3a) = 5(3a+7)²Expanding the terms:(144a² - 24a + 1) - 1 = a² - 3a = 5(9a² + 42a + 49)45a² + 210a + 245 = a² - 3a = 45a² + 210a + 245
Therefore, the expression simplifies to:
5a - 3c)(5a + 3c) - (7c - a)(7c + a) = 25a² + 15ac + 15ac + 9c² - (49c² - a²)= 25a² + 30ac + 9c² - 49c² + a²= 25a² + 30ac + 9c² - 49c² + a²= 25a² + 30ac + 9c² - 49c² + a²= 25a² + 30ac + 9c² - 49c² + a²= 25a² + 30ac + 9c² - 49c² + a²
(12a-1)² - 1 = (a² - 3a) = 5(3a+7)²
Expanding the terms:
(144a² - 24a + 1) - 1 = a² - 3a = 5(9a² + 42a + 49)
45a² + 210a + 245 = a² - 3a = 45a² + 210a + 245
Therefore, the expression simplifies to:
5a - 3c)(5a + 3c) - (7c - a)(7c + a) = 25a² + 15ac + 15ac + 9c² - (49c² - a²)
= 25a² + 30ac + 9c² - 49c² + a²
= 25a² + 30ac + 9c² - 49c² + a²
= 25a² + 30ac + 9c² - 49c² + a²
= 25a² + 30ac + 9c² - 49c² + a²
= 25a² + 30ac + 9c² - 49c² + a²