Factorize Numerator/Denominator: Factorize the numerator and denominator.Numerator: p2−6p−27=(p−9)(p+3)Denominator: p2−17p+72=(p−9)(p−8)
Cancel Common Factors: Cancel out the common factors.(p−9)(p+3)/(p−9)(p−8)=(p+3)/(p−8)
Identify Restrictions: Identify the restrictions where the original expression is undefined.p=9 (makes the factor (p−9) zero in the denominator)p=8 (makes the factor (p−8) zero in the denominator)
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