1) 121a² - 25 = 0121a² = 25a² = 25/121a = ±√(25/121)a = ±5/11
2) (1 - 2b)(1+2b) + 4b(b-2) = 49(1 - 4b²) + 4b² - 8b = 491 - 8b = 49-8b = 48b = -48/8b = -6
3) (x-2)³ + (x+2)³ = 2(x-3)(x²+3x+9)x³ - 6x + 12 + x³ + 6x + 12 = 2(x³ - 3x² + 3x² + 9x - 9)2x³ + 24 = 2x³ + 12x - 1824 = 12x - 1812x = 42x = 42/12x = 7/2
1) 121a² - 25 = 0
121a² = 25
a² = 25/121
a = ±√(25/121)
a = ±5/11
2) (1 - 2b)(1+2b) + 4b(b-2) = 49
(1 - 4b²) + 4b² - 8b = 49
1 - 8b = 49
-8b = 48
b = -48/8
b = -6
3) (x-2)³ + (x+2)³ = 2(x-3)(x²+3x+9)
x³ - 6x + 12 + x³ + 6x + 12 = 2(x³ - 3x² + 3x² + 9x - 9)
2x³ + 24 = 2x³ + 12x - 18
24 = 12x - 18
12x = 42
x = 42/12
x = 7/2