SOLUTION: Simplify. State the non-permissible value(s). a.(12a^3 b^2 c^4)/(16a^5 b) b.(2x+12)/(x+6)(2x+1) c.(14-2n)/(n^2-7n) d.(2m+6)/(2m^2-18)

Algebra ->  Finance -> SOLUTION: Simplify. State the non-permissible value(s). a.(12a^3 b^2 c^4)/(16a^5 b) b.(2x+12)/(x+6)(2x+1) c.(14-2n)/(n^2-7n) d.(2m+6)/(2m^2-18)       Log On


   

Question 1177896: Simplify. State the non-permissible value(s).
a.(12a^3 b^2 c^4)/(16a^5 b)
b.(2x+12)/(x+6)(2x+1)
c.(14-2n)/(n^2-7n)
d.(2m+6)/(2m^2-18)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
a.
%2812a%5E3%2Ab%5E2%2Ac%5E4%29%2F%2816a%5E5%2Ab%29......simplify



%283bc%5E4%29%2F%284a%5E2%29

the non-permissible value(s): a=0


b.

%282x%2B12%29%2F%28%28x%2B6%29%282x%2B1%29%29

2%28x%2B6%29%2F%28%28x%2B6%29%282x%2B1%29%29.....simplify

2%2F%282x%2B1%29

the non-permissible value(s):
x%2B6=0->x=-6
2x%2B1=0->2x=-1->x=-1%2F2


c.
%2814-2n%29%2F%28n%5E2-7n%29

2%287-n%29%2F%28n%28n-7%29%29

2%287-n%29%2F%28n%28n-7%29%29..........simplify

2%2Fn

the non-permissible value(s):
n=0


d.

%282m%2B6%29%2F%282m%5E2-18%29

2%28m%2B3%29%2F2%28m%5E2-9%29.........simplify

%28m%2B3%29%2F%28m%5E2-3%5E2%29

%28m%2B3%29%2F%28%28m-3%29%28m%2B3%29%29........simplify

1%2F%28m-3%29

the non-permissible value(s): m=3, m=-3


Answer by ikleyn(52781) 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.