Find the sum.
StartFraction 5 y plus 2 over x y squared EndFraction plus StartFraction 2 x minus 4 over 4 x y EndFraction
First, let's simplify the expressions within the fractions:
5y + 2 / xy^2 = 5y/xy^2 + 2/xy^2 = 5/y + 2/xy^2
2x - 4 / 4xy = 2x/4xy - 4/4xy = 1/2y - 1/xy
Now, we add the two fractions:
5/y + 2/xy^2 + 1/2y - 1/xy = (5 + 1/2)/y + (2 - 1)/xy^2
= 5.5/y + 1/xy^2
= 11/2y + 1/xy^2
Therefore, the sum is (11/2)y + 1/(xy^2).