Răspuns :
folosind formula a² – b² = (a – b)(a + b)
avem (x + 1)² - 25 = (x + 1)² - 5² = [(x + 1) - 5][(x + 1) + 5] = (x - 4)(x + 6)
(x² - 16) = (x² - 4²) = (x - 4)(x + 4)
ecuatia noasta devine [tex] \frac{(x - 4)(x + 6)}{(x - 4)(x + 4)} * \frac{(x + 4)}{(x + 6)} = 1[/tex]
Impartirea a doua fractii se face prin inmultirea primei fractii cu a doua fractie inversata.