SOLUTION: z^2+10z+24 ___________ z^2+15z=54 divided by z^2+4z ______ z^2+2z-63

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Question 32693: z^2+10z+24
___________
z^2+15z=54 divided by


z^2+4z
______
z^2+2z-63

Answer by mukhopadhyay(490)   (Show Source): You can put this solution on YOUR website!
[(z^2+10z+24)/(z^2+15z+54)]/[(z^2+4z)/(z^2+2z-63)]
= [(z+6)(z+4)/(z+9)(z+6)]/(z(z+4)/(z+9)(z-7)]
= [(z+4)/(z+9)] times [(z+9)(z-7)/z(z+4)]
= (z-7)/z

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