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Mathematics 18 Online
OpenStudy (anonymous):

amistre64 how do u get this in simplified form y2-y-12/y2-9......explanation would be great in a way i can understand

OpenStudy (anonymous):

is it y² - y - 12 divided by y² - 9 ?????

OpenStudy (anonymous):

yes it is

OpenStudy (amistre64):

well, we need to factor the top and bottom to see what cancels out as like terms ...

OpenStudy (amistre64):

just consider these things as glorified fractions ..

OpenStudy (amistre64):

what would: y^2 -y -12 ; factor as?

OpenStudy (anonymous):

ok...... y² - y - 12 y² - 4y + 3y - 12 y(y - 4) +3(y - 4) (y + 3)(y - 4) y - 4 --------- = ---------------- = ---------------- = ------------ = ----- y² - 9 (y)² - (3)² (y - 3)(y + 3) (y + 3)(y - 3) y - 3

OpenStudy (anonymous):

Y+4/Y+3, with the restriction y ≠ –3

OpenStudy (anonymous):

?

OpenStudy (amistre64):

lets see... y^2 -y -12 ; factors to (y-4)(y+3) ; so im thinking your (y+4) is either a typo or ....

OpenStudy (anonymous):

ohh it was!

OpenStudy (anonymous):

oh wait no it wasnt a typo

OpenStudy (anonymous):

:( fml

OpenStudy (amistre64):

y^2 - 9 is called a difference of squres, and you just gotta memorize how to do those :) (y-3)(y+3) ; to give us (y-4)(y+3) --------- ; cancels like terms to get (y-3)(y+3) (y-4) ---- ; x not= 3 is what i see it as (y-3)

OpenStudy (amistre64):

does that make sense for you?

OpenStudy (anonymous):

yes i see now :)

OpenStudy (amistre64):

good :)

OpenStudy (anonymous):

thnks:)

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