SOLUTION: Add and simplify, if possible -2/y^2-9 + 4y/(y-3)^2 + 6/3-y

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Question 168895This question is from textbook Introductory Algebra
: Add and simplify, if possible
-2/y^2-9 + 4y/(y-3)^2 + 6/3-y This question is from textbook Introductory Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Add and simplify, if possible
-2/y^2-9 + 4y/(y-3)^2 + 6/3-y
= -2/[(y-3)(y+3)] + 4y/(y-3)^2 - 6/(y-3)
lcd = (y-3)^2(y+3)
= -2(y-3)/lcd + (4y)(y+3)/lcd - 6(y-3)(y+3)
= [-2y+6 + 4y^2 + 12y - 6y+18]/lcd
= [4y^2 + 4y + 24]/lcd
= [4(y^2 + y + 6)]/lcd
Cheers,
Stan H.