Question 397742
to add rational expressions, you have to first combine the numerators, then find the common denominator, and finally reduce to lowest terms.

example:  8x/5x-2  +  2x-5/5x-2

In this problem, the denominators are the same, so, just combine the numerators.

8x+2x-5/5x-2

finally, you add the like variables, 8x+2x=10x, which leaves you with the answer of 
10x-5/5x-2. 


Now, to subtract rational expressions,you would folow the same steps.  Same example, but instead of using the addition(+) symbol, we are going to use the minus(-) symbol.

example:  8x/5x-2  -  2x-5/5x-2

since the denominators are the same, 5x-2, we are going to combine numerators, 8x-2x-5, 
this will leave you with, 6x-5.

your answer would be 6x-5/5x-2.