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Mathematics 10 Online
OpenStudy (anonymous):

Tough math problem :(

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! :)

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

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 ?

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.

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):

\[\frac{ x+1 }{ (x+3)(x-2) }*\frac{ x+4 }{ x^2+5x+4 }\]

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

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)

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 \[\frac{ 1 }{ (x+3)(x-2) }\]

OpenStudy (gorv):

that is our ans

OpenStudy (anonymous):

THANKYOU SO MUCH! :D

OpenStudy (gorv):

welcome:)

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