1/x^2+3/4x-5/6

To simplify the expression 1/x^2 + 3/4x - 5/6, we need to find a common denominator and combine the fractions.

Step 1: Find a common denominator for the fractions. In this case, the least common denominator (LCD) is 4x^2. To get this, we multiply the denominators of all the fractions: x^2, 4x, and 6.

Step 2: Adjust the numerators of the fractions with respect to the common denominator. For the first fraction, multiply the numerator and denominator by 4x. For the second fraction, multiply the numerator and denominator by x^2. For the third fraction, multiply the numerator and denominator by 4x^2.

The expression becomes: (4x/x^2) + (3x^2/4x) - (5/6)

Step 3: Combine the numerators over the common denominator.

(4x + 3x^2 - 5/6x^2) / (4x^2)

This is the simplified form of the given expression.