Final answer:
The LCD for the given ratio (2)/(9d²+44d-5) is (3d-1)(3d+5).
Step-by-step explanation:
The LCD stands for the Lowest Common Denominator.
It is the smallest multiple shared by all the denominators in a given set of fractions or rational expressions.
In this particular case, we have a ratio in the form of (2)/(9d²+44d-5).
To find the LCD, we need to factor the denominator, which is 9d²+44d-5.
Factoring this quadratic expression, we get (3d-1)(3d+5).
The LCD is then the product of all the unique factors, with each factor raised to the highest exponent.
So, the LCD for this ratio is (3d-1)(3d+5).