simplify (y-8)/(y-9) - (y+1)/(y+9) + (y-27)/(y^2-81) please put the steps, i am not quite sure where to start on this one, thanks!

Question

saifoo.khan · Answer

Hello.

anonymous · Answer

hi saifoo, i got (2y+12)/(y+9), is this right?

saifoo.khan · Answer

you are almost correct.

saifoo.khan · Answer

10/(y+9)

anonymous · Answer

the first fraction needs to be mutliplied by x-9 over itself to get the LCD; the second fraction must be mutliplird by y+9 over itself to get the LCD; the third fractino already has the LCD;then I combined fractions after FOIL-ing$$\frac{y^2+y-72-y^2+8y+9+y-27}{(y-9)(y+9)}$$
(i will continue on next post)

saifoo.khan · Answer

Mondolio when you are free, please have a look.

saifoo.khan · Answer

i mean please have a look in my question

anonymous · Answer

and mandolino, could you please check my other one i have posted about answering in radical form?

anonymous · Answer

btw, the 99 above is supposed to be a 90

$$=\frac{10y-90}{(x-9)(x+9)}$$factor out a 10 in the numerator$$=\frac{10\cancel{(y-9)}}{\cancel{(x-9)}(x+9)}=\frac{10}{x+9}$$which is wha saifoo got about 10 minutes ago!

anonymous · Answer

ahhhh ok, thank you

anonymous · Answer

correction:  two posts ago the +9 is supposed to be a -9

(forget about the 99 and 90 stuff above!)

anonymous · Answer

i'll go look now at the radcial form one