Hello, Odonsky!
. . . . .
. . . . .
I have two questions, both of which I am stuck on:
Problem #1:
Instructions state, 'Simplify the expression:'
y - x / (x^2 + xy - 2y^2)
Problem #2:
Instructions state, 'Perform the indicated operation and simplify if possible:'
3 / (x^2 - 9) + 2 / (x - 3)
I've determined that x^2 - 9 can be factored to (x + 3) (x - 3) but I don't know where to take it from here. Do I have to find an LCD to solve this?
Odonsky has correctly done what he has. he has just taken out (-1) common so that he gets the same factor in numerator i.e., ( x-y) which is also there in the denominator for cancellation.