Alg...Did I do this correctly?
Question: What is the difference of x over x-3 and 5x-1 over x^2-6x+9
My answer: x^2-5x-1 over (x-3)^2

Question

Alg...Did I do this correctly?
Question: What is the difference of x over x-3 and 5x-1 over x^2-6x+9
My answer: x^2-5x-1 over (x-3)^2

anonymous · Answer

$${x\over x-3}~~-{5x-1\over x^{2}-6x+9} ~~~~~~~~~~?$$

anonymous · Answer

Yes^

anonymous · Answer

okay  well to simplify we must have common denominators :)
$$({x-3\over x-3}~~\times{x\over x-3}~~)-{5x-1\over x^{2}-6x+9}$$$${x^2-3x\over x^2-6x+9}~~~~~-{5x-1\over x^{2}-6x+9}$$now simplify the numerators$${x^2-8x-1\over x^{2}-6x+9}$$

anonymous · Answer

So the common denominator is x^2-6x+9?

anonymous · Answer

yup :)

anonymous · Answer

Would the final answer be x^2-2x-1 over (x-3)^2

anonymous · Answer

i think your add wrong..the middle term on the numerator should be -8x not -2x ...check again :)

anonymous · Answer

you're adding*

anonymous · Answer

Oh, I was thinking the 5x was positive, now I understand, Thanks! ^_^

anonymous · Answer

anytime! :D

anonymous · Answer

you could factor the fraction but it wouldnt get you anywhere so yup thats your final answer! :)