Final answer:
After substituting a = 12 and b = 2 into the expression ab + (3a - 8b), it simplifies to 44, which is the final answer after performing the arithmetic operations.
Step-by-step explanation:
To solve the expression ab + (3a - 8b) given that a = 12 and b = 2, you need to substitute the values of a and b into the expression and then perform the arithmetic operations.
Steps to Solve:
- Substitute a = 12 and b = 2 into the expression.
- Multiply a and b to find ab.
- Treble the value of a to get 3a.
- Octuple the value of b to get 8b.
- Add ab to 3a and subtract 8b to get the final result.
Let's calculate:
- ab = 12 * 2 = 24
- 3a = 3 * 12 = 36
- 8b = 8 * 2 = 16
- So, 24 + (36 - 16) = 24 + 20 = 44
Therefore, the solution is 44.