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The image contains mathematical exercises in Arabic that involve simplifying expressions and finding the greatest common factor (GCF) and the difference of squares. Here's a breakdown of the first few problems:

1. The heading reads:
   "Solve the following expressions using the difference of squares and the greatest common factor."

2. The first few exercises are structured in algebraic form:

   **1. \( (x^2 + 12x - 3y) = ? \)**
   This expression requires simplification. Possibly factoring or simplifying the given quadratic expression.

   **2. \( (x^3 - 4x^2 + 7x + 5) = ? \)**
   You would simplify or factor this cubic expression if needed.

   **3. \( (x - y)(x + y) = ? \)**
   This is a direct example of the difference of squares formula:  
   \[
   a^2 - b^2 = (a - b)(a + b)
   \]
   So, applying the formula to \( (x - y)(x + y) \), the result is \( x^2 - y^2 \).

The other exercises follow similar patterns, asking for the difference of squares or GCF factorization in different algebraic forms.

Let me know if you'd like me to explain any specific problem from the image in more detail or provide a solution for a particular exercise.

Would you like detailed steps for one or more of these problems?

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Here are 5 related questions that expand the topic:

1. How do you factor quadratic equations using the difference of squares method?
2. What are some common ways to simplify cubic expressions?
3. Can the difference of squares method be applied to higher powers? If so, how?
4. What is the process of finding the greatest common factor in polynomial expressions?
5. How do you check if an algebraic factorization is correct?

**Tip**: The difference of squares formula \( a^2 - b^2 = (a - b)(a + b) \) is very useful when factoring many types of quadratic expressions and can save time in solving equations.

Solve the following expressions using the difference of squares and the greatest common factor.

Learn how to solve algebraic expressions involving the difference of squares and greatest common factor (GCF). This problem set covers key algebraic concepts suitable for students in Grades 9-12, including factoring and simplification techniques.

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