18a^3 + 30a^2 / 3a

18a^3/3a + 30a^2/3a

3*6*a*a^2/3a + 3*10*a*a/3a
6a^2 + 10a

To simplify the expression 18a^3 + 30a^2 / 3a, we can follow these steps:

Step 1: Evaluate the 30a^2 / 3a expression separately.
First, simplify the expression 30a^2 / 3a by dividing the coefficient (30) by the coefficient (3) and subtracting the exponents (2 - 1).
30 / 3 = 10 and a^2 / a = a^(2-1) = a^1 = a.
So, 30a^2 / 3a = 10a.

Step 2: Combine the simplified expression from step 1 with 18a^3.
Now, we can rewrite the original expression by combining 18a^3 and 10a:
18a^3 + 10a.

And that's our simplified expression.