Thank you for sharing the image! I will now analyze it and provide detailed solutions to the math problems. Let's start with Soru 1 and go step by step.

Soru 1

You are asked to write the algebraic expressions in the form of multiplication. I'll solve each part:

a) $12 \cdot 3y$
Answer: $(12)(3y)$

b) $2x \cdot 5$
Answer: $(2x)(5)$

c) $5a \cdot (-3)$
Answer: $(5a)(-3)$

d) $-4x \cdot 5x$
Answer: $(-4x)(5x)$

e) $-8 \cdot 6y$
Answer: $(-8)(6y)$

f) $4 \cdot (2x + 3)$
Answer: $(4)(2x + 3)$

g) $x \cdot (4x - 2)$
Answer: $(x)(4x - 2)$

h) $6 \cdot x^2 \cdot 2 \cdot y$
Answer: $(6)(x^2)(2)(y)$

i) $-5m \cdot m$
Answer: $(-5m)(m)$

j) $7a \cdot 3 \cdot b$
Answer: $(7a)(3)(b)$

k) $-3m^2 \cdot n \cdot 5n$
Answer: $(-3m^2)(n)(5n)$

Would you like me to continue with Soru 2 or expand on any part of Soru 1?

Questions to Explore Further:

1. What is the distributive property, and how does it relate to expressions like $4(2x + 3)$?
2. How do you simplify expressions with variables, such as $x(4x - 2)$?
3. What happens when you multiply two terms with the same base (e.g., $x \cdot x$)?
4. How does the sign of the coefficients affect the result of multiplication?
5. Why is it important to write expressions clearly in multiplication form?

Tip:

When multiplying terms with variables, always remember to combine like terms using exponent rules (e.g., $x^m \cdot x^n = x^{m+n}$).