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OpenStudy (bexster):
any ideas? look how all the terms are different.
rvc (rvc):
again u need to see
which can be taken out as common factor
ILovePuppiesLol (ilovepuppieslol):
none of them?
OpenStudy (bexster):
no
OpenStudy (bexster):
ill tell you that D is incorrect
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ILovePuppiesLol (ilovepuppieslol):
ur incorrect @bexster
ILovePuppiesLol (ilovepuppieslol):
maybe 4b
OpenStudy (bexster):
how so?
ILovePuppiesLol (ilovepuppieslol):
like u know how they say like UR MOMS INCORRECT @bexster
ILovePuppiesLol (ilovepuppieslol):
is it 4b @rvc
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rvc (rvc):
see this :
\[\rm \color{red}{4ab}-7ax+\color{red}{8b}-14x=0~\\4b\color{blue}{(a+2)}-7x\color{blue}{(a+2)}=0\]
ILovePuppiesLol (ilovepuppieslol):
i did not see that
rvc (rvc):
did u understand what i wrote?
ILovePuppiesLol (ilovepuppieslol):
where did that come from, the A+2
rvc (rvc):
see carefully
u can get common terms
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ILovePuppiesLol (ilovepuppieslol):
i don't see where it comes from
hartnn (hartnn):
\(\large ☻☺+☻♥= ☻(☺+♥) \\ \text{this is factoring, } \\ \text{☻ was common from both terms and factored out.}\)
4ab + 8b
can be written as
\(4b \times a + 4b\times 2\)
rvc (rvc):
<3 hartnn :)
hartnn (hartnn):
and when you factor out 4b from both the terms,
'a' remains from 1st term
'2' remains from 2nd term
hence,
4b (a+2)
makes sense?
ILovePuppiesLol (ilovepuppieslol):
the smily face?
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ILovePuppiesLol (ilovepuppieslol):
OH I SEE IT
ILovePuppiesLol (ilovepuppieslol):
yes it makes sense
rvc (rvc):
gOOd
ILovePuppiesLol (ilovepuppieslol):
thanks y'all
hartnn (hartnn):
how about -7ax -14x
?
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ILovePuppiesLol (ilovepuppieslol):
we have to factor out -7x right
hartnn (hartnn):
yes :)
ILovePuppiesLol (ilovepuppieslol):
so a would be left and nothing would be left in the second part
ILovePuppiesLol (ilovepuppieslol):
a would be left for first part
hartnn (hartnn):
-7x factored from -14x will leave '2' from 2nd term :)
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ILovePuppiesLol (ilovepuppieslol):
sorry I'm busy rn, and I see why it leaves 2 now @hartnn
hartnn (hartnn):
cool,
so you now have
4b(a+2) -7x(a+2)
again,
(x+2) is common from both the terms and can be factored out!
ILovePuppiesLol (ilovepuppieslol):
wait i thought it was (a+2)
rvc (rvc):
yes a+2
ILovePuppiesLol (ilovepuppieslol):
now we have (a+2) 4b-7?
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ILovePuppiesLol (ilovepuppieslol):
or flipped around
hartnn (hartnn):
7x
don't forget the brackets.
(a+2)(4b-7x)
which is same as
(4b-7x)(a+2)
ILovePuppiesLol (ilovepuppieslol):
yup!! THANK U GOKU @hartnn
ILovePuppiesLol (ilovepuppieslol):
good night everyone
OpenStudy (mathstudent55):
The first rule of factoring is to try to factor a common factor out of all terms.
Here there isn't one.
When you see 4 terms, try factoring by grouping.
Factor a common factor out of the first two terms.
Then factor a common factor out of the last two terms.
Then factor out a common factor.
\(\large 4ab - 7ax + 8b - 14x\)
\(\large = a(4b - 7x) + 2(4b - 7x) \)
\(\large = (4b - 7x)(a + 2) \)
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