Q. Simplify. Express your answer as a single fraction in simplest form. 9d2+cd44
Identify LCM: Identify the least common multiple (LCM) of the denominators 9d and cd4. Since 9d and cd4 have no common factors other than d, the LCM is 9cd4.
Convert fractions: Convert each fraction to have the LCM as the denominator. For the first fraction, multiply both the numerator and denominator by cd3 to get (2cd3)/(9cd4). For the second fraction, multiply both the numerator and denominator by 9d3 to get (36d3)/(9cd4).
Combine over denominator: Combine the fractions over the common denominator. This gives us (2cd3+36d3)/(9cd4).
Factor out d3: Simplify the numerator by factoring out the common factor d3. This gives us d3(2c+36)/(9cd4).
Cancel common factor: Simplify the expression by canceling out the common factor of d3 from the numerator and denominator. This results in (2c+36)/(9c).
Add like terms: Simplify the numerator by adding the like terms. This gives us (2c+36)/(9c)=(2c+36c)/(9c)=(38c)/(9c).
Cancel common factor: Cancel the common factor of c from the numerator and denominator. This results in 938.
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