1) (3b+2a)³ = (3b+2a)(3b+2a)(3b+2a) = (9b² + 12ab + 4a²)(3b+2a) = 27b³ + 36a²b + 12ab² + 18b²a + 8a³ = 27b³ + 8a³ + 54a²b + 54ab²
2) (x+y)² - (x-y)² = x² + 2xy + y² - (x² - 2xy + y²) = x² + 2xy + y² - x² + 2xy - y² = 4xy
3) (2x-3)² - (2x+3)² = 4x² - 12x + 9 - (4x² + 12x + 9) = 4x² - 12x + 9 - 4x² - 12x - 9 = -24x - 18 = 12. This equation has no real solutions.
1) (3b+2a)³ = (3b+2a)(3b+2a)(3b+2a) = (9b² + 12ab + 4a²)(3b+2a) = 27b³ + 36a²b + 12ab² + 18b²a + 8a³ = 27b³ + 8a³ + 54a²b + 54ab²
2) (x+y)² - (x-y)² = x² + 2xy + y² - (x² - 2xy + y²) = x² + 2xy + y² - x² + 2xy - y² = 4xy
3) (2x-3)² - (2x+3)² = 4x² - 12x + 9 - (4x² + 12x + 9) = 4x² - 12x + 9 - 4x² - 12x - 9 = -24x - 18 = 12. This equation has no real solutions.