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a² - 5a + 6 = a² - 2a - 3a + 6 = a(a - 2) - 3(a - 2) = (a - 2)(a - 3)
a² - a - 2 = a² + a - 2a - 2 = a(a + 1) - 2(a + 1) = (a + 1)(a - 2)
2. 4x + 8 ≠ 0 ∧ 4x² - 16 ≠ 0 ∧ x² - 4x + 4 ≠ 0
4x ≠ -8 ∧ (x - 2)(x + 2) ≠ 0 ∧ (x - 2)² ≠ 0
x ≠ -2 ∧ x ≠ 2 ∧ x ≠ -2 ∧ x ≠ 2
D = R \ {-2 ; 2}
Δ = 23² + 4 * 39 * 62 = 10201
√Δ = 101
x = (23 + 101)/78 = 124/78 = 62/39 ∨ x = (23 - 101)/78 = -78/78 = -1
3. x² - 4 ≠ 0 ∧ x² - 2x ≠ 0 ∧ x² + 2x ≠ 0
(x - 2)(x + 2) ≠ 0 ∧ x(x - 2) ≠ 0 ∧ x(x + 2) ≠ 0
x ≠ 2 ∧ x ≠ -2 ∧ x ≠ 0 ∧ x ≠ 2 ∧ x ≠ 0 ∧ x ≠ -2
D = R \ {-2 ; 0 ; 2}