Question

1) (a/2+2a)/2 (2)b2-14b+49 (3) (a/2-9)(a/2+9) (4) a/3-27

Answer 1

1. (а/2+2а)/2=а/4+2а/2=а/4+а

2. b² - 14b +49= (b-7)²

3. (a/2-9)(a/2+9)=(a/2)²-9²=a²/4-81

4, a/3-27=(∛a/3 - 3)((∛a/3)²+27a/3+9)

Answer 2

1. (а/2+2а)/2=а/4+2а/2=а/4+а

2. b² - 14b +49= (b-7)²

3. (a/2-9)(a/2+9)=(a/2)²-9²=a²/4-81

4, a/3-27=(∛a/3 - 3)((∛a/3)²+27a/3+9)

Answer 3

It seems like you've provided a list of expressions without a specific question or instruction. Let me break down and simplify each expression:

1. (a/2 + 2a) / 2: To simplify this expression, first combine like terms inside the parentheses: (a/2 + 2a) = (a/2 + 4a/2) = (5a/2) Now, divide by 2: (5a/2) / 2 = 5a/4

2. b^2 - 14b + 49: This is a quadratic expression. It can be factored as a perfect square: (b - 7)(b - 7) = (b - 7)^2

3. (a/2 - 9)(a/2 + 9): You have a difference of squares here, which can be factored using the formula (a^2 - b^2) = (a - b)(a + b): (a/2 - 9)(a/2 + 9) = ((a/2) - 9)((a/2) + 9) = ((a/2)^2 - 9^2) = (a^2/4 - 81)

4. a/3 - 27: To simplify this expression, you can subtract 27 from a/3: (a/3 - 27) = a/3 - 27

If you have any specific questions or need further assistance with these expressions, please provide more details, and I'd be happy to help.