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

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Question 149833: How do you factor ?
Found 3 solutions by jim_thompson5910, scott8148, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Well you can't solve it (since it's not an equation), but you can factor

Start with the given expression.


Rearrange the terms


Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms

So factors to
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
grouping __ (4x^2 + 20x) + (5y + xy)

factoring __ 4x(x+5) + y(5+x)

rearranging __ (4x+y)(x+5)
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
How do you factor ? 

By grouping, factor  out of the first two terms only:



Next factor y out of the last two terms only:


 
Notice that  is the same as ,
so we write  as  



Now the  is a common factor. So we factor it
out as:



Edwin
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