Final answer:
To simplify the expression 3(a/2 + ab - 1)+5 - 2ab, distribute 3 across the terms and combine like terms to get (3a + 4ab + 2)/2. Substituting a = 3 and b = 2 into the expression gives a value of 17.5.
Step-by-step explanation:
To simplify the expression 3(a/2 + ab - 1) + 5 - 2ab, we first apply the distributive property by multiplying 3 to each term inside the parentheses:
3 * a/2 + 3 * ab - 3 + 5 - 2ab
Next, we simplify each term:
3a/2 + 3ab - 3 + 5 - 2ab
Combine like terms:
3a/2 + ab - 3 - 2ab + 5
Now, we can simplify further:
(3a + 4ab + 2)/2
To find the value when a = 3 and b = 2, we substitute these values into the expression:
(3 * 3 + 4 * 3 * 2 + 2)/2 = (9 + 24 + 2)/2 = 35/2 = 17.5
Learn more about Simplifying expressions