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

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

i do not know how to do this

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

ok

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

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

yes but not sure what to do next

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

yes

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

this is our 2nd fraction k?

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

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

do we cancel anything out

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

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

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

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

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

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

yep yep yep

yes!

great ty

nicely done