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Simplify the rational expression (x²-16)/(x+7)-(x+8)/(x-3)

User Ab
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Final answer:

To simplify the rational expression (x²-16)/(x+7)-(x+8)/(x-3), we first find a common denominator and then expand and simplify the expression.

Step-by-step explanation:

To simplify the rational expression (x²-16)/(x+7)-(x+8)/(x-3), we first need to find a common denominator for the two fractions. The common denominator is (x+7)(x-3), so we can write the expression as:

((x²-16)(x-3) - (x+8)(x+7))/((x+7)(x-3))

Expanding and simplifying this expression, we get:

(x³ - 17x - 120)/((x+7)(x-3))

User Dheeraj Thedijje
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