How do you factor by grouping #5x + 2y + xy + 10#?

1 Answer
Don't Memorise
May 17, 2015

#5x + 2y + xy + 10#

We factor this expression by making groups of 2 terms
#= (5x + xy) + (2y +10)#

Now we take the common factors out from each group
# = x( 5 + y) + 2( y+5)#

#( 5 +y)# is a common factor to each of the terms now:

# = (5+y)(x+2)#

# color(green)( (5+y)(x+2)}# is the Factorised form of #5x + 2y + xy + 10#

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