Answer these two and show work please ! :)

8.

10.

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.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.