Question 156949
divide and if possible simplify
:
Assume the problem is:
{{{((x^2+7x+10))/((x+5))}}}
------------
{{{((x^2-4))/((5x-10))}}}
:
Invert the dividing fraction and multiply
{{{((x^2+7x+10))/((x+5))}}} * {{{((5x-10))/((x^2-4))}}}
Factor
{{{((x+2)(x+5))/((x+5))}}} * {{{(5(x-2))/((x-2)(x+2))}}} = 5
:
Note that you can cancel:(x+2, (x+5), and (x-2)