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Rewriting the first factor: −3x+152x+16=−3(x+5)2(x+8)
Rewriting the second factor: x−7x2−25=x−7(x+5)(x−5)
Finding excluded values: x≠±5 and x≠−8
Multiplying and reducing to lowest terms:
=−3x+152x+16⋅x−7x2−25=−3(x+5)2(x+8)⋅x−7(x+5)(x−5)=−3(x+5)(x−7)2(x+8)(x+5)(x−5)=−3(x−7)2(x+8)(x−5)