SOLUTION: Simplify the rational expression, if possible. Identify any excluded values. {{{(k-3)/(7k-21)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the rational expression, if possible. Identify any excluded values. {{{(k-3)/(7k-21)}}}      Log On


   

Question 1005083: Simplify the rational expression, if possible. Identify any excluded values.
%28k-3%29%2F%287k-21%29
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28k-3%29%2F%287k-21%29 =     (this ratio is defined if  k=/= 3;  otherwise it is not defined)

%28k-3%29%2F%287%2A%28k-3%29%29 =     (reduce by  (k-3)  the numerator and the denominator)

= 1%2F7.

So,   %28k-3%29%2F%287k-21%29  is defined everywhere except  k=3,  and

%28k-3%29%2F%287k-21%29 = 1%2F7  everywhere where the ratio in the left side is defined.