Răspuns:
Explicație pas cu pas:
x^2 - 1 ≠ 0; (x - 1)(x + 1) ≠ 0; x ≠1; x ≠-1
5x + 3 ≠ 0; x ≠ - 3/5
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(3x + 2)^2 - (2x + 1)^2 = (3x + 2 + 2x + 1)(3x + 2 - 2x -1) = (5x + 3)(x + 1)
(x^2 - 1)(5x + 3) = (x + 1)(x - 1)(5x + 3)
F(x) = (5x + 3)(x + 1) / (x + 1)(x - 1)(5x + 3) = 1/(x - 1)