Problem

8) $\frac{3}{x-2}+\frac{4 x}{x+1}$

Answer

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Answer

Combine the fractions: \(\boxed{\frac{4x^2 - 5x + 3}{x^2 - x - 2}}\)

Steps

Step 1 :Find a common denominator: \(\frac{3(x+1)}{(x-2)(x+1)} + \frac{4x(x-2)}{(x+1)(x-2)}\)

Step 2 :Combine the fractions: \(\boxed{\frac{4x^2 - 5x + 3}{x^2 - x - 2}}\)

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