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The image contains a set of algebra problems in Indonesian, covering simplification, factoring, logarithms, and quadratic equations. Here's a breakdown of the key points for each section:

### **1. Simplify algebraic expressions:**
- The task is to simplify the expressions by combining like terms, which are terms that have the same variables and powers.

### **2. Combine and factorize algebraic expressions:**
- You need to group and factorize the given expressions. Factorizing involves finding common factors or using known algebraic identities.

### **3. Rewriting and factoring completely:**
- This involves fully factorizing the expressions using algebraic identities like difference of squares, perfect square trinomials, etc.

### **4. Use of exponents and logarithms:**
- Simplify the expressions that involve powers and logarithms using exponent rules and logarithmic identities.

### **5. Convert logarithmic forms:**
- Change the logarithmic expressions into a different format, likely using logarithmic properties like the product, quotient, or power rules.

### **6. Write in logarithmic form:**
- Convert the expression involving roots into a logarithmic expression.

### **7. Factorization of polynomials:**
- If possible, factorize the polynomials completely by identifying factors or using methods like synthetic division.

### **8. Determine remainders:**
- Use polynomial division or the remainder theorem to find the remainder when dividing the given polynomial expressions.

### **9. Solve quadratic equations by completing the square:**
- Completing the square is a method used to solve quadratic equations by converting them into perfect square trinomials.

### **10. Use the quadratic formula to solve quadratic equations:**
- Apply the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) to solve the quadratic equations provided.

### **11. Solve cubic equations:**
- Solve cubic equations by factoring, starting with linear factors and possibly using the factor theorem.

### **12. Solve quartic equations:**
- Find the solutions to quartic equations by factoring or using advanced techniques.

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Would you like detailed explanations for any specific question or section?

### Follow-up Questions:
1. Would you like a step-by-step guide for simplifying algebraic expressions in question 1?
2. Do you need help with any specific factorization problems in question 2 or 3?
3. Should I explain how to use logarithmic rules for simplifying question 5?
4. Would you like a worked example for using the quadratic formula (question 10)?
5. Would you like help solving the cubic or quartic equations from question 11 and 12?

### Tip:
When simplifying expressions or solving equations, always look for common factors or patterns like difference of squares, perfect squares, or cube identities.

Algebra problems involving simplification, factoring, logarithms, and quadratic equations

Explore advanced algebra problems involving the simplification of expressions, factoring polynomials, working with logarithms, and solving quadratic equations using formulas like the quadratic equation and logarithmic rules. Suitable for Grades 10-12.

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