To find the sum of the two expressions, we need to combine like terms. The expressions given are:
- 7a³ + 14a + 12
- 6a³ + 12a² + 7
Now, let’s add them together:
(7a³ + 14a + 12) + (6a³ + 12a² + 7)
Next, we identify and combine like terms:
- For the a³ terms: 7a³ + 6a³ = 13a³
- For the a² terms: 0 (there are no a² terms in the first expression) + 12a² = 12a²
- For the a terms: 14a + 0 (there are no a terms in the second expression) = 14a
- For the constant terms: 12 + 7 = 19
Now, we can write down the final sum:
13a³ + 12a² + 14a + 19
So, the sum of the expressions 7a³ + 14a + 12 and 6a³ + 12a² + 7 is:
13a³ + 12a² + 14a + 19