SOLUTION: Simplify if possible. z^2+17z+72/z^2+18z+81 Devide z^2+8z/z^2+15z+54

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify if possible. z^2+17z+72/z^2+18z+81 Devide z^2+8z/z^2+15z+54      Log On


   



Question 303260: Simplify if possible.
z^2+17z+72/z^2+18z+81 Devide z^2+8z/z^2+15z+54

Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
z^2+17z+72/z^2+18z+81 Devide z^2+8z/z^2+15z+54
=%28z%5E2%2B17z%2B72%29%2F%28z%5E2%2B18z%2B81%29÷%28z%5E2+%2B+8z%29%2F%28z%5E2%2B15z%2B54%29
=%28z%2B9%29%28z%2B8%29%2F%28z%2B9%29%28z%2B9%29÷%28z%28z%2B8%29%29%2F%28z%2B9%29%28z%2B6%29%29

=%28z%2B9%29%28z%2B8%29%2F%28z%2B9%29%28z%2B9%29*%28z%2B9%29%28z%2B6%29%2F%28z%28z%2B8%29%29
Cancel out (z+9),(z+8)
=%28z%2B6%29%2F%28z%29