How do you simplify (4x-24)/(x^2-12x+36) and what are the ecluded values fot he variables?

Feb 4, 2017

simplification is $\frac{4}{x - 6}$
The given expression in factorised form is $\frac{4 \left(x - 6\right)}{x - 6} ^ 2$. If x=6, the given expression acquires an indeterminate form of type $\frac{0}{0}$. Thus x=6 is excluded from the the values which x can acquire.
If x is excluded, the given expression simplifies to $\frac{4}{x - 6}$