Final answer:
To simplify the rational expression (k²-k-30)/(k²+k-20), factor both the numerator and denominator and cancel out any common factors.
Step-by-step explanation:
To simplify the rational expression (k²-k-30)/(k²+k-20), we factor both the numerator and denominator. The numerator factors to (k-6)(k+5) and the denominator factors to (k-4)(k+5). We can then cancel out the common factor of (k+5) to simplify the expression to (k-6)/(k-4).
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