Question 56872
simplify:
:
:
{{{5/pq + 3p/q}}}
Common denominator is pq:
{{{(5 + p(3p))/pq}}} = {{{(5 + 3p^2)/pq}}}
:
:
{{{2/(x+1) - 1/(x-2)}}}
Common denominator is (x+1)(x-2):
{{{(2(x-2) - 1(x+1))/(x+1)(x-2)}}} = {{{(2x - 4 - x - 1)/(x+1)(x-2)}}} = {{{(x - 5)/(x+1)(x-2)}}}
:
:

 (x-2)^2
____________
 x^2+x-6
:
Factor:
{{{((x-2)(x-2))/((x+3)(x-2))}}} = {{{(x-2)/(x+3))}}}
Canceled (x-2)
:
:

{{{x^2/y + x/y}}} = {{{(x^2 + x)/y}}}
Same denominators, so easy