Final answer:
To simplify the given expression, follow the order of operations (PEMDAS). Simplify the exponents, then perform multiplication and division from left to right. Lastly, combine like terms.
Step-by-step explanation:
The given expression is:
a³ + a²b / 5a x 25 / 3b + 3aa
To simplify the expression, we follow the order of operations - PEMDAS. First, we simplify the exponents. a³ means a x a x a, and a² means a x a. So the expression becomes:
a x a x a + a x a x b / 5 x a x 25 / 3 x b + 3 x a x a
Next, we simplify the multiplication and division from left to right:
a x a x a + a x b / 5 x a x 25 / 3 x b + 3 x a x a
Finally, we combine the like terms:
a³ + a²b / 5a x 25 / 3b + 3aa
Therefore, the correct option is d. a³ + (a²b / 5a) x (25 / 3b + 3a).