Rewrite multiplication: Rewrite the multiplication of the two fractions. So, (3g−2)/(g2−1)×(g+1)=(3g−2)×(g+1)/(g2−1).
Factor denominator: Factor the denominator g2−1 to (g−1)(g+1).
Cancel common factors: Cancel out the common factors in the numerator and the denominator. The (g+1) in the numerator and denominator cancel each other out. So, (3g−2)×(g+1)/(g2−1) becomes (3g−2)/(g−1).
Final answer: The final answer is (3g−2)/(g−1).
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