Just answer my question a 
2
 +ab,  a^2 - b^2 a 
2
 −b 
2
 , and  (a + b)^2 (a+b) 
2
 ?

Let's break down the given expressions one by one:

1. **Expression 1: \( 2 + ab \)**
   - This is simply the sum of 2 and the product of \(a\) and \(b\). The expression does not simplify further unless values for \(a\) and \(b\) are provided.

2. **Expression 2: \( a^2 - b^2 \)**
   - This is a difference of squares, which can be factored as:
     \[
     a^2 - b^2 = (a - b)(a + b)
     \]
   - This is the factored form of the expression.

3. **Expression 3: \( (a + b)^2 \)**
   - This is a perfect square trinomial, and it expands as:
     \[
     (a + b)^2 = a^2 + 2ab + b^2
     \]
   - This is the expanded form.

So, the expressions are:
1. \( 2 + ab \)
2. \( (a - b)(a + b) \) (factored form of \(a^2 - b^2\))
3. \( a^2 + 2ab + b^2 \) (expanded form of \( (a + b)^2 \))

Do you need more details or explanations? Here are five related questions:

1. How do you factor other types of polynomials like \(a^3 - b^3\)?
2. Can you find the values of \(a\) and \(b\) for specific results of \(2 + ab\)?
3. What is the geometric interpretation of a difference of squares?
4. How do you solve quadratic equations derived from expressions like \( (a + b)^2 \)?
5. How can the perfect square formula be applied to solve real-world problems?

**Tip**: Always check if you can factor or expand expressions to simplify or solve them!

Just answer my question a^2 + ab, a^2 - b^2, and (a + b)^2?

Explore how to simplify algebraic expressions like a^2 + ab, a^2 - b^2, and (a + b)^2 using key algebraic concepts such as the difference of squares and perfect square trinomials. Learn step-by-step solutions suitable for Grades 8-10.

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