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: $6x + 2y$

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 $2y$: $2y(13x^2y^2 + 3 - 2x^2y)$

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!