Reducing Rational Expressions?

[Dillinger4]

Anyone have any idea how i can go about reducing this expression? 5x-7x/ x²-7x²

I end up factoring as x(5-7)/x(x-7x) which i see no other way to factor. Now i don't know where to go from here.

[jemidiah]

(5x-7x)/(x²-7x²) = x(5-7)/x²(1-7) = -2/-6x = 1/3x, x <> 0

[DiGiTaIErRoR]

Without brackets(literal)... -(7x^3-5x^2+7)/x

Otherwise 1/3x

[Dillinger4]

Ahhhh ok. Thanks for the help guys. Math is not one of my strong subjects. How about this one. I think i got it but im not too sure.

y³ - y² - 2y/ 6y² - 24

y(y² -y -2)/6(y² - 4)

y(y-2)(y+1)/6(y-2)(y+2) --> y(y+1)/6(y+2)

[DiGiTaIErRoR]

Originally posted by Dilenger4
Ahhhh ok. Thanks for the help guys. Math is not one of my strong subjects. How about this one. I think i got it but im not too sure.

y³ - y² - 2y/ 6y² - 24

y(y² -y -2)/6(y² - 4)

y(y-2)(y+1)/6(y-2)(y+2) --> y(y+1)/6(y+2)

That's right.

[Dillinger4]

Many thanks. May your liver have a long and healthy life.