the questions are below?

Question

1. 2/x-2 - 3/x-1

2. 8x-8/x^2+x-2

3. 2/x-2 divided by x-1/4x-8

Answer 1

1.) 2 / x-2 - 3 / x-1 >>>>Impossible for using LCM to same their denominator because they are not whole number. So, just multiply denominator to each other.
= 2(x-1) / (x-2)(x-1) - 3(x-2) / (x-1)(x-2) >>>>Expand the bracket.
= 2x-2 / x²-3x+2 - 3x+6 / x²-3x+2
= 2x-2-3x+6 / x²-3x+2
= 2x-3x-2+6 / x²-3x+2 >>>>Reorder the terms.
= -x+4 / x²-3x+2 >>>>Factorize x²-3x+2
= -x+4 / (x-2)(x-1)

2.) 8x-8 / x²+x-2 >>>>Factorize 8x-8
= 8(x-1) / x²+x-2 >>>>Factorize x²+x-2 by using cross multiplication method or trinomials method. Compare the both method, cross multiplication method is quiet easier.
= 8(x-1) / (x+2)(x-1) >>>>Eliminate x-1
= 8 / x+2

3.) 2 / x-2 ÷ x-1 / 4x-8
= 2 / x-2 x 4x-8 / x-1 >>>>To convert into multiplication sign, reciprocal the second fraction.
= 2 / x-2 x 4(x-2) / x-1 >>>>Eliminate x-2
= 2 х 4 / x-1
= 8 / x-1

Answer 2

The answer is: do your own homework. You will never learn anything by having other people answer questions that you should be able to answer.