SOLUTION: Find the product of each of the following. State the non-permissible value(s). a.(7x^2 y^5)/(x^3).(2xy^2)/(21y) b.(x-4)/(5x^2-80).(10x)/(x+1)

Algebra ->  Rational-functions -> SOLUTION: Find the product of each of the following. State the non-permissible value(s). a.(7x^2 y^5)/(x^3).(2xy^2)/(21y) b.(x-4)/(5x^2-80).(10x)/(x+1)      Log On


   

Question 1177898: Find the product of each of the following. State the non-permissible value(s).
a.(7x^2 y^5)/(x^3).(2xy^2)/(21y)


b.(x-4)/(5x^2-80).(10x)/(x+1)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find the product of each of the following. State the non-permissible value(s)
a.
%28%287x%5E2y%5E5%29%2F%28x%5E3%29%29%28%282xy%5E2%29%2F%2821y%29%29.........first simplify



%28%287y%5E5%29%2Fx%29%28%282xy%29%2F%2821%29%29...........multiply numerator by numerator, and demominator by denominator

%287y%5E5%2A2xy%29%2F%2821x%29.........simplify

%28cross%287%29y%5E5%2A2cross%28x%29y%29%2F%28cross%2821%293cross%28x%29%29

2y%5E6%2F3

State the non-permissible value(s): none


b.
%28%28x-4%29%2F%285x%5E2-80%29%29.%2810x%2F%28x%2B1%29%29

%28%28x-4%29%2F%285%28x%5E2-16%29%29%29.%2810x%2F%28x%2B1%29%29

%28%28x-4%29%2F%285%28x-4%29%28x%2B4%29%29%29%2810x%2F%28x%2B1%29%29.......simplify

%28cross%28%28x-4%291%29%2F%285cross%28%28x-4%29%29%28x%2B4%29%29%29%2810x%2F%28x%2B1%29%29

%281%2F5%28x%2B4%29%29%2810x%2F%28x%2B1%29%29...........multiply

%281%2A10x%29%2F%285%28x%2B4%29%28x%2B1%29%29.....simplify

%28cross%2810%292x%29%2F%28cross%285%29%28x%2B4%29%28x%2B1%29%29

2x%2F%28%28x%2B4%29%28x%2B1%29%29

State the non-permissible value(s): x=-4 or x=-1 (these values will make denominator equal to zero)


Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.

The sets of non-permissible values for each of the original expressions and for its simplified expression are DIFFERENT.


The fact that the original formulation does not reflect this circumstances MEANS that the original formulation is FAULTY.


The fact that @MathLover does not reflect it in her answers MEANS that her solution is incomplete/incorrect.