simplify/reduce the algebraic fraction: 6x-3y/2x-y

Question

anonymous · Answer

$$\frac{ 6x-3y }{ 2x-y }=\frac{ 3(2x-y) }{ 2x-y }$$

Factor top and bottom completely and cancel any factors which are common to the numerator and denominator.

anonymous · Answer

Thank you! can you help with a few more?

anonymous · Answer

perhaps...

anonymous · Answer

Add the Algebraic Fractions and Reduce to lowest terms: 2x+3/x^2-9+x/x-3

anonymous · Answer

in order to add rational expressions, you need the terms to have a common denominator.

What is the common denominator?

$$\frac{ 2x+3 }{ x^{2} -9}+\frac{ x }{ x+3 }$$

anonymous · Answer

3?

anonymous · Answer

you need to know the factors of each denominator.  Can you factor the first denominator?

anonymous · Answer

no I am completely lost...please explain

anonymous · Answer

$$x^{2}-9 = (x-3)(x+3)$$ this is a difference of squares

anonymous · Answer

okay because half of 9 is 3 right

anonymous · Answer

well 9 divided by 2

anonymous · Answer

no... the square root of 9 is 3.

anonymous · Answer

do you know how to add and subtract fractions?

anonymous · Answer

yeah okay I understand

anonymous · Answer

do you go across?

anonymous · Answer

no... you need a common denominator.  I think you need some help with factoring as well.  Unfortunately, I have to leave right now.  I'll be back in a while but I suggest you get some help with fractions and factoring.  That's what you'll need to do these problems.

anonymous · Answer

okay thank you for your help