SOLUTION: 1) Simplify the expression: 14/(3x) + (x+5)/(3x) 2) Simplify the expression: 4/(x+2) - 3/(x+2) 3)Simplify the expression: 3/x + 2/x^2 Please help me! thankyou so much i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1) Simplify the expression: 14/(3x) + (x+5)/(3x) 2) Simplify the expression: 4/(x+2) - 3/(x+2) 3)Simplify the expression: 3/x + 2/x^2 Please help me! thankyou so much i      Log On


   

Question 402926: 1) Simplify the expression: 14/(3x) + (x+5)/(3x)
2) Simplify the expression: 4/(x+2) - 3/(x+2)
3)Simplify the expression: 3/x + 2/x^2
Please help me! thankyou so much i really appreciate it

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
14%2F%283x%29%2B%28x%2B5%29%2F%283x%29
The denominators are the same so we can go ahead and add them. As always, you just add the numerators when adding fractions. So we get:
14%2Bx%2B5%2F%283x%29
which simplifies to:
%28x%2B19%29%2F%283x%29

4%2F%28x%2B2%29+-+3%2F%28x%2B2%29
The denominators are the same so we can go ahead and subtract them. As always, you just subtract the numerators when subtracting fractions. So we get:
%284-3%29%2F%28x%2B2%29
which simplifies to:
1%2F%28x%2B2%29

3%2Fx+%2B+2%2Fx%5E2
The denominators are not the same. So we must make then the same before we add. We can turnt he first denominator into x%5E2 if we multiply the numerator and denmominator of that fraction by x:
%283%2Fx%29%28x%2Fx%29+%2B+2%2Fx%5E2
which gives us:
%283x%29%2Fx%5E2+%2B+2%2Fx%5E2
Now we can add:
%283x+%2B+2%29%2Fx%5E2