2х^2 - 12х + 18 = 2(x^2 - 6x + 9) = 2(x - 3)^2
a) (4х + 3)^2 - 24х = (16x^2 + 24x + 9) - 24x = 16x^2 + 24x + 9 - 24x = 16x^2 + 9
б) 18c^2 - 2(3c - 1)^2 = 18c^2 - 2(9c^2 - 6c + 1) = 18c^2 - 18c^2 + 12c - 2 = 12c - 2 = 2(6c - 1)
2х^2 - 12х + 18 = 2(x^2 - 6x + 9) = 2(x - 3)^2
Упрощение выражений:a) (4х + 3)^2 - 24х = (16x^2 + 24x + 9) - 24x = 16x^2 + 24x + 9 - 24x = 16x^2 + 9
б) 18c^2 - 2(3c - 1)^2 = 18c^2 - 2(9c^2 - 6c + 1) = 18c^2 - 18c^2 + 12c - 2 = 12c - 2 = 2(6c - 1)