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Answer these two and show work please ! :)

Answer these two and show work please ! :)-example-1
User Masaya
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1 Answer

3 votes

Answer:

8.
(4x)/(x^(2) -1)

10.
(1-2xy)/(3x^(2) )

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.

User William Park
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