Răspuns:
Explicație pas cu pas:
x^2 - 4 = (x + 2)(x - 2)
[(x + 3)(x + 2) - (x - 2)(x - 2) - (7x - 2)] / (x + 2)(x - 2)
[x^2 + 2x + 3x + 6 - (x^2 - 4x + 4) - 7x + 2] / (x + 2)(x - 2)
(x^2 + 5x + 6 - x^2 + 4x - 4 - 7x + 2) / (x + 2)(x - 2)
(2x + 4) / (x + 2)(x - 2) = 2(x + 2) / (x + 2)(x - 2) = 2 / (x - 2)
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(x - 2) / (x^2 - 4x + 4) = (x - 2) / (x - 2)^2 = 1 / (x - 2)
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2/(x - 2) : 1/(x - 2) = 2/(x - 2) * (x- 2)/1 = 2