https://file.aiquickdraw.com/mathbot/file/1726833377734givdsfyn.jpg

The image contains a math problem in Indonesian, which translates to:

**2. Write each of the following algebraic forms in expanded form:**
a. \( 2(x + 10) \)
b. \( 3(4x - 3) \)
c. \( 5x(x + 1) \)
d. \( (x - 2)(x + 5) \)

Let's solve each part by expanding the algebraic expressions.

### a. \( 2(x + 10) \)
\[
2(x + 10) = 2 \cdot x + 2 \cdot 10 = 2x + 20
\]

### b. \( 3(4x - 3) \)
\[
3(4x - 3) = 3 \cdot 4x + 3 \cdot (-3) = 12x - 9
\]

### c. \( 5x(x + 1) \)
\[
5x(x + 1) = 5x \cdot x + 5x \cdot 1 = 5x^2 + 5x
\]

### d. \( (x - 2)(x + 5) \)
\[
(x - 2)(x + 5) = x \cdot x + x \cdot 5 - 2 \cdot x - 2 \cdot 5 = x^2 + 5x - 2x - 10 = x^2 + 3x - 10
\]

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Do you need more details on any step or have any questions? Here are some related problems you can try:

1. Expand \( 4(x - 6) \).
2. Simplify \( 7(2x + 4) \).
3. Expand \( (x + 3)(x - 4) \).
4. Multiply \( 6x(x - 5) \).
5. Factor \( x^2 + 6x + 9 \).

**Tip:** When expanding binomials, remember to multiply each term in the first parenthesis by each term in the second parenthesis.

Write each of the following algebraic forms in expanded form:
a. 2(x + 10)
b. 3(4x - 3)
c. 5x(x + 1)
d. (x - 2)(x + 5)

Learn how to expand algebraic expressions such as 2(x+10), 3(4x-3), 5x(x+1), and (x-2)(x+5). This step-by-step guide explains how to apply the distributive property and expand binomials. Suitable for Grades 7-9.

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