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The image contains a table of algebraic questions involving expanding and simplifying, factorizing, and fully factorizing polynomials. I'll go through the provided questions and their respective instructions, and solve them.

### Section A: Expand and Simplify
1. **A1: \( 2(2z + 2) + 2(2z + 2) \)**
   - Expanding: \( 4z + 4 + 4z + 4 \)
   - Simplifying: \( 8z + 8 \)

2. **A2: \( 2(x + 2y) + 2(x - 2y) \)**
   - Expanding: \( 2x + 4y + 2x - 4y \)
   - Simplifying: \( 4x \) (since \( 4y - 4y = 0 \))

3. **A3: \( 2(x - 3) + 2(x - 3) \)**
   - Expanding: \( 2x - 6 + 2x - 6 \)
   - Simplifying: \( 4x - 12 \)

4. **A4: \( 2(4x + 2y) - 2(3x + 2y) \)**
   - Expanding: \( 8x + 4y - 6x - 4y \)
   - Simplifying: \( 2x \) (since \( 4y - 4y = 0 \))

5. **A5: \( 3(4x - 2y) - 2(3x - 4y) \)**
   - Expanding: \( 12x - 6y - 6x + 8y \)
   - Simplifying: \( 6x + 2y \)

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### Section B: Fully Factorize
1. **B1: \( 25z + 15 \)**
   - Factor out the greatest common factor (GCF): \( 5(5z + 3) \)

2. **B2: \( 35z + 21 \)**
   - GCF is 7: \( 7(5z + 3) \)

3. **B3: \( 10z + 4 \)**
   - GCF is 2: \( 2(5z + 2) \)

4. **B4: \( 99z^3y^4 - 27y^3 \)**
   - GCF is \( 9y^3 \): \( 9y^3(11z^3 - 3) \)

5. **B5: \( 26x^2y^3 + 6y - 4x^2y^2 \)**
   - GCF is \( 2y \): \( 2y(13x^2y^2 + 3 - 2x^2y) \)

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### Section C: Factorize
1. **C1: \( x^2 + 4x + 4 \)**
   - Perfect square: \( (x + 2)^2 \)

2. **C2: \( x^2 + 8x + 16 \)**
   - Perfect square: \( (x + 4)^2 \)

3. **C3: \( x^2 - 9 \)**
   - Difference of squares: \( (x + 3)(x - 3) \)

4. **C4: \( x^2 + 10x + 24 \)**
   - Factorization: \( (x + 6)(x + 4) \)

5. **C5: \( x^2 - 6x + 8 \)**
   - Factorization: \( (x - 2)(x - 4) \)

Would you like any more details on a particular solution, or need further explanation?

Here are some relative questions to explore further:
1. How do you factor polynomials with three terms (quadratics)?
2. What are the steps for solving difference of squares problems?
3. How do you recognize a perfect square trinomial?
4. How do you expand products of binomials?
5. What is the role of the greatest common factor (GCF) in simplifying expressions?

**Tip:** Always check for a common factor before starting to factorize any polynomial expression!

Expand and simplify algebraic expressions, factorize and fully factorize polynomials.

Learn to expand, simplify, and factorize algebraic expressions. This guide covers key concepts including distributive property, perfect square trinomials, and difference of squares. Suitable for students in Grades 8-10.

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