Question

Oblicz działanie
Z góry dziekuje

Answer 1

2 / (x - 3) + 4 / (x + 3) =
Dziedzina:
x - 3 ≠ 0  ∧  x + 3 ≠ 0
x ≠ 3  ∧  x ≠ -3
D: R - {-3; 3}
= 2 / (x - 3) × (x + 3) / (x + 3) + 4 / (x + 3) × (x - 3) / (x - 3) =
= (2x + 6) / (x - 3)(x + 3) + (4x - 12) / (x - 3)(x + 3) =
= (2x + 6 + 4x - 12) / (x - 3)(x + 3) =
= (6x - 6) / (x² - 9) =
= 6(x - 1) / (x² - 9)