Question 198972
Simplify:
{{{((4m+30)/(m+5))+((m^2+8m+5)/(m+5))}}} Since the two fractions are already over a common denominator {{{(m+5)}}} you can simply add the numerators, as you suggested, to get:
{{{(m^2+(4m+8m)+(30+5))/(m+5)}}} Simplify the numerator:
{{{(m^2+12m+35)/(m+5)}}} Now factor the numerator.
{{{(m+7)cross((m+5))/cross((m+5))}}} Cancel the indicated factors to leave you with...
{{{highlight(m+7)}}}