SOLUTION: PLEASE HELP!!! MUST SHOW WORK. 1. simplify: 4xy^3/z^2 / (8x^2y/z^3)^2 2. Simplify d/d^2-9+5/2d+6 Thanks

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: PLEASE HELP!!! MUST SHOW WORK. 1. simplify: 4xy^3/z^2 / (8x^2y/z^3)^2 2. Simplify d/d^2-9+5/2d+6 Thanks      Log On


   

Question 167398: PLEASE HELP!!! MUST SHOW WORK.
1. simplify: 4xy^3/z^2 / (8x^2y/z^3)^2
2. Simplify d/d^2-9+5/2d+6
Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. simplify:
:
%284xy%5E3%29%2Fz%5E2
-------------
%28%288x%5E2y%29%2Fz%5E3%29%5E2
:
Square the denominator fraction
%284xy%5E3%29%2Fz%5E2
-------------
%2864x%5E4y%5E2%29%2Fz%5E6
:
Invert the dividing fraction and multiply, cancel like terms
%284xy%5E3%29%2Fz%5E2 * z%5E6%2F%2864x%5E4y%5E2%29 = %28yz%5E4%29%2F%2816x%5E3%29
:
2. Simplify
:
d%2F%28%28d%5E2-9%29%29+5%2F%28%282d%2B6%29%29
:
Factor, then put over a common denominator:
d%2F%28%28d-3%29%28d%2B3%29%29+5%2F%282%28d%2B3%29%29 = %282d+%2B+%28d-3%29%2A5%29%2F%28%282%28d%2B3%29%28d-3%29%29%29 = %282d+%2B+5d+-+15%29%2F%28%282%28d%2B3%29%28d-3%29%29%29 = %287d+-+15%29%2F%28%282%28d%2B3%29%28d-3%29%29%29