What's the product?
(2a + 4)^3 means (2a + 4)(2a + 4)(2a + 4)
Multiply the first two groupings together using FOIL:
(2a + 4)(2a + 4) = 4a^2 + 8a + 8a + 16
Combine like terms: 4a^2 + 16a + 16
Now take that answer and multiply by the third grouping using distributive property:
(4a^2 + 16a + 16)(2a + 4) = 8a^3 + 16a^2 + 32a^2 + 64a + 32a + 64
Combine like terms to get: 8a^3 + 48a^2 + 96a + 64
If you look closely at Nataliya D's answer, you'll see that multiplying each term in her grouping by the 8 out in front gives you the same answer.