Question

Would someone help me find my next step in the operation: y^2+2y-8 / y^2 +7y+12

So far, I have simplified the top to (y-2)(y-2). Am I right so far?And what is my next step please? :)

Answer 1

((y+4)(y-2))/((y+4)(y+3))

Answer 2

Thank you so much, but is this the answer? Can you tell me how you got there? Sorry to be a bother, I just want to make sure I understand :)

Answer 3

Oh! This is the next step right? But how did you factor to get there?

Answer 4

The y+4's would cancel?

Answer 5

yes

Answer 6

Thank you, thank you!! c:

Answer 7

Strong suggestion: Any time you factor, multiply your factors back together to check whether they produce the original polynomial. Note that (y-2)(y-2) = y^2 - 4x +4, which does not agree with your original denominator.

Answer 8

So is y-2/y+3 not the correct one? How so?

Answer 9

y-2/y+3 is currect

Answer 10

Okay, thank you @scorpions786 :):):)

Answer 11

@scorpions786 , would you be interested in helping me with another?

Answer 12

but keep in mind y can't be -4 because we just simplify it with out simplification
\[\frac{ x+4 }{ x+4 } . \frac{ x-2 }{ x+3 } \]
you see what happen if y=-4

Answer 13

Would this be a restriction? I've only learned of restrictions that are "x="

Answer 14

ops it's wrong format exchange x with y

Answer 15

Okie :) haha, it can't be equal to zero correct? So, this wouldn't work? I'm not quite sure..

Answer 16

it will be zero if it was -4 ^^

Answer 17

so yes ^^ correct good luck :D

Answer 18

Thank you :) Much appreciated! Would you like to help me with another, if you have time to of course :)

Answer 19

alrighty :)