Question

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Answer 1

\[\large \frac {x}{x-4}+ \frac {6}{x+4} \div \frac{3}{2(x^2-16)}\]
\[\large \frac {x}{x-4}+ \frac {6}{x+4} \times \frac{2(x^2-16)}{3}\]
\[\large \frac {x}{x-4}+ \frac {6}{x+4} \times \frac{2(x+4)(x-4)}{3}\]

Answer 2

notice i that last line, x+4 cancels to get:

Answer 3

combine those two rational expressions to get a simplified answer.