Question

perform the indicated operations & simplify
y-3 - y+1 + y-63
--- ---- ----
y-7 y+7 y²-49

Answer 1

multiply first fraction by (y+7)/(y+7)
multiply second fraction by (y-7)/(y-7)
doing this will allow you to combine the fractions
let me know what you get when you do this

Answer 2

i do not know how to do this

Answer 3

multiply?
(y-3)(y+7) y^2-3y+7y+21
--------= _________________
(y-7)(y+7) (y-7)(y-7)
this is the first fraction

Answer 4

ok

Answer 5

you have like terms on top
y^2+4y+21
___________
(y-7)(y+7)
is first fraction
now can you do the second fraction?

Answer 6

do you have
(y+1)(y-7)
_________
(y+7)(y-7)
so far?

Answer 7

yes but not sure what to do next

Answer 8

did you see what i did to the first fraction i multiply the two factors on top

Answer 9

yes

Answer 10

so you get
y^2-7y+y-7
___________
(y+7)(y-7)

Answer 11

this is our 2nd fraction k?

Answer 12

we have like terms
y^2-6y-7
_________
(y+7)(y-7)

Answer 13

since we have the same denominators for ech fraction we can combine them
what do you get on top?

Answer 14

do we cancel anything out

Answer 15

y^2+3y-21-y^2+6y+7+y-63
--------------------------
(y-7)(y+7)

Answer 16

the first fraction had numerator y^2+4y+21
the second fraction had numerator y^2-6y-7
third fraction had numerator y-63
we have a minus in between the first and second fraction
so we have
y^2+4y+21-(y^2-6y-7)+y-63
_______________________________
(y+7)(y-7)
combine like terms on top

Answer 17

you should get
11y-35
_________
(y-7)(y+7)

Answer 18

11y-77
-------
(y-7)(y+7)

Answer 19

wait you're right i multiplied wrong up there
gj tina

Answer 20

ok so is the answer
11
---
y+7

Answer 21

yep yep yep

Answer 22

yes!

Answer 23

great ty

Answer 24

nicely done