Question

8. Simplify 3(a/2 + ab - 1)+5 - 2ab and find its value if a = 3 and b = 2.​

Answer 1

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

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