Question

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Answer 1

(X² + 3X + 2)/(X² - 4)

(X² + 3X + 2) = (X + 2)(X + 1)

(X² - 4) = (X² - 2²) = (X + 2)(X - 2)

Reescribimos la expresion:

 [(X + 2)(X + 1)]/[(X + 2)(X - 2)] (Cancelo (X + 2) arriba y abajo)

Queda: (X + 1)/(X - 2)

Rta: (X² + 3X + 2)/(X² - 4) = (X + 1)/(X - 2)