Question 609823
{{{z^2-10z+24/z^2+4z-32}}}
As posted, there is only one thing you can do. Combine the -10z and 4z terms:
{{{z^2-6z+24/z^2-32}}}<br>
But I suspect that the problem is supposed to be:
{{{(z^2-10z+24)/(z^2+4z-32)}}}
If so, please put parentheses around multiple term numerators and denominators. Since the numerator and denominator of
{{{(z^2-10z+24)/(z^2+4z-32)}}}
are already simplified, all we can do with this is reduce the fraction. Reducing fractions involves canceling factors. So we need to factor first:
{{{((z-6)(z-4))/((z+8)(z-4))}}}
Now that we can see the factors we can see that there is a common factor to cancel:
{{{((z-6)cross((z-4)))/((z+8)cross((z-4)))}}}
leaving:
{{{(z-6)/(z+8)}}}
This is the simplified fraction.