Mathematics
10 Online
OpenStudy (anonymous):
Tough math problem :(
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OpenStudy (anonymous):
What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4
OpenStudy (gorv):
\[\frac{ x+1 }{ x^2+x-6 }\div \frac{ x^2+5x+4 }{ x+4}\]
OpenStudy (gorv):
is this your Q ??
OpenStudy (anonymous):
\[\frac{ x+1 }{ x^2+x-6 }\div \frac{ x^2+5x+4 }{ x+4 }\]
OpenStudy (anonymous):
Yes! :)
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OpenStudy (gorv):
ok so we can change division sign by multipliction and reverse the thing on right agree??
OpenStudy (anonymous):
Agreed
OpenStudy (gorv):
\[\frac{ x +1}{ x^2+x-6}*\frac{ x+4 }{ x^2+5x+4 }\]
OpenStudy (gorv):
now first solve left term
OpenStudy (gorv):
denominator x^2+x-6
can u split x such that product =-6
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OpenStudy (anonymous):
yes into -3 right?
OpenStudy (gorv):
no lol 3 and -2
OpenStudy (gorv):
x^2+3x-2x-6
OpenStudy (anonymous):
ohhh haha ok
OpenStudy (gorv):
can u tell what u will get after doing this ?
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OpenStudy (gorv):
x(x+3)-2(x+3)=(x+3)(x-2)
OpenStudy (gorv):
now on right can u factor numerator ??
OpenStudy (anonymous):
do I do FOIL after that?
OpenStudy (gorv):
we foiled left side do on right n tell
??
OpenStudy (anonymous):
Ohh, ok I see. Umm I dont think you can factor it anymore.
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OpenStudy (gorv):
x^2+5x+4
OpenStudy (gorv):
this term ??
OpenStudy (anonymous):
no x(x+3)-2(x+3)=(x+3)(x-2)
OpenStudy (anonymous):
Erg, Im sorry. Im honestly just so confused right now :/
OpenStudy (gorv):
\[\frac{ x+1 }{ (x+3)(x-2) }*\frac{ x+4 }{ x^2+5x+4 }\]
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OpenStudy (gorv):
we left with this now
OpenStudy (anonymous):
ok
OpenStudy (gorv):
x^2+5x+4 we need to foil it
OpenStudy (anonymous):
ok
OpenStudy (gorv):
do it lol
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OpenStudy (anonymous):
I dont know how :/
OpenStudy (anonymous):
do i do 4(x^2+5x+4)?
OpenStudy (gorv):
x^2+4x+x+4
OpenStudy (anonymous):
4x^2+20x+16
OpenStudy (gorv):
x(x+4)+1(x+4)=(x+4)(x+1)
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OpenStudy (anonymous):
ok
OpenStudy (gorv):
\[\frac{ x+1 }{ (x+3 )(x-2)}*\frac{ x+4 }{ (x+1)(x+4) }\]
OpenStudy (gorv):
x+1 and x+4 will cancel x+1 and x=4 in numerator
OpenStudy (anonymous):
ok
OpenStudy (gorv):
we left with \[\frac{ 1 }{ (x+3)(x-2) }\]
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OpenStudy (gorv):
that is our ans
OpenStudy (anonymous):
THANKYOU SO MUCH! :D
OpenStudy (gorv):
welcome:)