Question 212947
Subtract:
{{{(z/(8z-64))-((z-7)/(z-8))}}} Factor an 8 from the denominator of the first fraction.
{{{(z/8(z-8))-((z-7)/(z-8))}}} Now multiply the second fraction by {{{8/8}}} so that the fractions will have a common denominator.
{{{(z/8(z-8))-(8(z-7)/8(z-8))}}} Simplify the numerators and subtract the fractions.
{{{(z-8z+56)/(8(z-8))}}} Simplifying the numerator, we get:
{{{((-7z)+56)/(8(z-8))}}} Factor a -7 from the numerator.
{{{(-7cross((z-8)))/(8cross((z-8)))}}} Cancel the (z-8)'s as indicated to leave you with:
{{{highlight(-7/8)}}}