Question

y^2 - 3y + 2 / y^2 + 5y + 6 divided by y^2 + 2y - 8 / y^2 + y -12. Can you please show your work?? Thanks in advance :)

Answer 1

And how to simplify it

Answer 2

Anyone know how?

Answer 3

oh my

Answer 4

let's factor to simplify
y^2 - 3y + 2 / y^2 + 5y + 6

(y-2)(y-1)
--------
(y+3)(y+2)

Answer 5

good idea

Answer 6

second one
y^2 + 2y - 8 / y^2 + y -12

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

(y-2)
-----
(y-3)

Answer 7

ok division is just multiplication by reciprocal

(y-2)(y-1) (y-3)
-------- * ----------
(y+3)(y+2) y-2

Answer 8

(y-1) (y-3)
-------- * ----------
(y+3)(y+2) 1

Answer 9

(y-1)(y-3)
--------
(y+3)(y+2)

Answer 10

Is that the final answer?

Answer 11

Or do i need to simplify it further?

Answer 12

let me check to see if I made any mistake

Answer 13

Okay!

Answer 14

I can't find any mistake so
(y-1)(y-3)
--------
(y+3)(y+2)
you may multiply it out

Answer 15

Okay and that's the simplest form?

Answer 16

well you can write like this
y^2 -4y +3
------------
y^2+ 5y+6

Answer 17

Okay :) so that's the simplest form and you do it by multiplying it out?

Answer 18

Yes,

Answer 19

Thanks imranmeah91!!!!!!!! really, like thanks a lot lol

Answer 20

You are welcome

note. Key is simplifying before computing

Answer 21

Okay! :) That makes sense. Well I really appreciate all your help!! BEST MATH GURU EVER!! lol.

Answer 22

thanks

Answer 23

Hey if you're not busy can I ask you another?