Question 149833
How do you factor {{{4x^2 + 20x + 5y +xy}}}? 

<pre><font size = 4 color ="indigo"><b>
By grouping, factor {{{4x}}} out of the first two terms only:

{{{4x(x + 5) + 5y +xy}}}

Next factor y out of the last two terms only:

{{{4x(x + 5) + y(5 +x)}}}
 
Notice that {{{(x+5)}}} is the same as {{{(5+x)}}},
so we write {{{(5+x)}}} as {{{(x+5)}}} 

{{{4x(x + 5) + y(x+5)}}}

Now the {{{(x+5)}}} is a common factor. So we factor it
out as:

{{{(x + 5)(4x+y)}}}

Edwin</pre>