How do you factor completely # 14xy – 7x – 6y + 3#?

1 Answer
Don't Memorise
Dec 31, 2015

#=color(blue)((7x-3) (2y-1) #

Explanation:

#14xy-7x-6y+3#

We can factor this expression by making groups of two terms:
#color(blue)((14xy-7x)) + color(green)((-6y+3)#

#7x# is common to both the terms in the first group, and #-3# is common to both the terms in the second group:

#=7x(2y-1) -3 (2y-1)#

#(2y-1)# is common to both the terms now
#=color(blue)((7x-3) (2y-1) #

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