(2c-d)/(c^2d)+(c+d)/(cd^2)
LCD = c^2 d^2
(2c-d)/(c^2d)+(c+d)/(cd^2)
= ( d(2c-d) + c(c+d))/(c^2d^2)
= (2cd - d^2 + c^2 + cd)/(c^2d^2)
= (3cd - d^2 + c^2)/(c^2d^2)
You did not say what you want done with it.
To simplify the expression:
Step 1: Identify the common denominator for the two fractions. In this case, the common denominator is c^2d.
Step 2: Rewrite each fraction with the common denominator.
(2c-d)/(c^2d) = (2c-d)/(c^2d) * (d/d) = (2cd-d^2)/(c^2d^2)
(c+d)/(cd^2) = (c+d)/(cd^2) * (c/c) = (c^2+cd)/(c^2d^2)
Step 3: Combine the two fractions.
(2cd-d^2)/(c^2d^2) + (c^2+cd)/(c^2d^2) = (2cd-d^2+c^2+cd)/(c^2d^2)
Step 4: Simplify the numerator.
2cd + c^2 - d^2 + cd = 3cd + c^2 - d^2
Therefore, the simplified expression is (3cd + c^2 - d^2)/(c^2d^2).