3x3y + 12xy - 3x2y - 12y
Part A: Rewrite the expression so that the GCF is factored completely.
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OpenStudy (cwrw238):
firstly what is the GCF of the numbers?
undeadknight26 (undeadknight26):
how do i find that? I forgot sorry...
OpenStudy (cwrw238):
the greatest number which will divide into 3 , 12 = 3 right?
OpenStudy (cwrw238):
now look at the variables (the letters) which letter is common to all 4 terms?
undeadknight26 (undeadknight26):
y right?
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OpenStudy (cwrw238):
oooh sorry i've slipped up here...
undeadknight26 (undeadknight26):
huh?
OpenStudy (cwrw238):
I'm puzzled by this one
OpenStudy (cwrw238):
Ok i've got confused because of the way the terms are written
first bring all the letters together
3x3y + 12xy - 3x2y - 12y
= 9xy + 12xy - 6xy - 12y
= 9xy + 6xy - 12y
= 15xy - 12y
OK now the GCF of 15xy and 12y is 3y
so we get
3y(5x - 4)
)
undeadknight26 (undeadknight26):
thats it?
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OpenStudy (cwrw238):
yes it all boils down to that
OpenStudy (cwrw238):
the way the problem was presented was a little confusing
note that 3x3y = 9xy and 3x2y = 6xy