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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: z^2+10z+24 ___________ z^2+15z=54 divided by z^2+4z ______ z^2+2z-63      Log On


   

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


z^2+4z
______
z^2+2z-63
Answer by mukhopadhyay(490) About Me  (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