Answer: 5(x^3 - 4x - 16)/ 2(x + 4)(x - 4)
Step-by-step explanation: Based on the given conditions, formulate 5x/2 + 20/x+4 + 10/x-4
find the common denominator and write the numerators above common denominator.
5x(x + 4)(x - 4) +20 x 2 (x - 4) + 10 x 2 (x - 4)
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2 (x + 4)(x - 4)
Apply the multiplicative Distribution law:
5x^3 + 20x^2 - 20x^2 - 80x + 40x - 160 + 20x + 80
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2 (x + 4) (x - 4)
Combine like terms 5x^3 - 20x - 80
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2(x = 4)( x - 4)
Factor the expression 5 (x + 4 - 4x - 16)
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2 (x + 4) (x - 4)