SOLUTION: Addition and Subtraction of Rational Expressions y^3 - 5y/6y - y^3 + y + 3/6y y^2/y-4 - 4/y-4 2/ y + 3 / y-1

Algebra ->  Expressions-with-variables -> SOLUTION: Addition and Subtraction of Rational Expressions y^3 - 5y/6y - y^3 + y + 3/6y y^2/y-4 - 4/y-4 2/ y + 3 / y-1      Log On


   

Question 156687: Addition and Subtraction of Rational Expressions
y^3 - 5y/6y - y^3 + y + 3/6y
y^2/y-4 - 4/y-4
2/ y + 3 / y-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

%28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29 Start with the given expression


%28y%5E3+-+5y-%28y%5E3+%2B+y+%2B+3%29%29%2F%286y%29 Since the denominators are equal, this means that we can subtract the fractions.


%28y%5E3+-+5y-y%5E3+-+y+-+3%29%2F%286y%29 Distribute


%28-6y-3%29%2F%286y%29 Combine like terms.



So %28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29 simplifies to %28-6y-3%29%2F%286y%29


In other words, %28y%5E3+-+5y%29%2F%286y%29+-%28y%5E3+%2B+y+%2B+3%29%2F%286y%29=%28-6y-3%29%2F%286y%29 where y%3C%3E0




# 2

%28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29 Start with the given expression


%28y%5E2-4%29%2F%28y-4%29 Since the denominators are equal, this means that we can subtract the fractions.



So %28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29 simplifies to %28y%5E2-4%29%2F%28y-4%29


In other words, %28y%5E2%29%2F%28y-4%29+-%284%29%2F%28y-4%29=%28y%5E2-4%29%2F%28y-4%29 where y%3C%3E4