We shall multiply the given statement in order to provide a comprehensive response:
(2A + 3b) (4C + 5D + 6E)
The distributive property asserts that for each combination of the numbers a, b, c, and d:
ac + ad + bc + bd = (a + b) (c + d)
Let's now apply this characteristic to the provided expression:
Distribute the first pair (2A + 3b) to (4C + 5D + 6E):
2A (4C), 2A (5D), 2A (6E), 3B (4C), 3B (5D), and 3B (6E)
Next, make each term simpler:
8 AC, 10 AD, 12 AE, 12 bC, 15 bD, and 18 bE
Thus, after multiplying the given equation, the whole response is:
8 AC, 10 AD, 12 AE, 12 bC, 15 bD, and 18 bE
And the final answer is-
8AC+10AD+12AE+12bC+15BD+18BE