Answer:
8. [tex]\frac{4x}{x^{2} -1}[/tex]
10. [tex]\frac{1-2xy}{3x^{2} }[/tex]
Step-by-step explanation:
8. write all numerators above the least common denominator, that is going to look like x/x+1/x+1-2/4. next we calculate the difference on the third level of the fraction, where it is x+1-2. we end up getting x/x+1/x-1/4. now we need to simplfy the fraction. that will be 4x/(x+1)*(x-1). now we simplfy the product on the denominator so it is going to be 4x/x^2-1.
10. we reduce the fraction on the left with 2. that is going to turn the left side of the fraction from 2x/6x^3 into x/3x^3. now our expression is x/3x^2 - 4y/6x. now we simplify the expression into 1/3x^2 - 4y/6x. now we reduce the fraction on the right side with 2. that is going to turn 4y/6x into 2y/3x. now we have the expression 1/3x^2 - 2y/3x. we now write all numerators above the least common denominator 3x^2. that is going to then look like 1-2xy/3x^2 which is our answer.
