Question 196794
<pre><font size = 4 color = "indigo"><b>
{{{(a-5)/(a+2)}}}·{{{(a^2-4)/(a-5)}}}

Factor {{{a^2-4}}} as {{{(a-2)(a+2)}}}

{{{(a-5)/(a+2)}}}·{{{((a-2)(a+2))/(a-5)}}}

Indicate the multiplications of numerators
and of denominators, so as to have only one
fraction:

{{{((a-5)(a-2)(a+2))/((a+2)(a-5))}}}

Cancel the {{{(a-5)}}}'s

{{{((cross(a-5))(a-2)(a+2))/((a+2)(cross(a-5)))}}}

Cancel the {{{(a+2)}}}'s

{{{((cross(a-5))(a-2)(cross(a+2)))/((cross(a+2))(cross(a-5)))}}}

And all that's left is

{{{a-2}}}

Edwin</pre>