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The image contains a set of mathematical problems involving various topics such as arithmetic operations, factorization, functions, and geometry. Here is a breakdown of the problems:

### 1. **Izračunaj** (Calculate):
   - a) Two expressions with fractions and basic arithmetic.
   - b) A product involving a set of brackets with fractions and decimals.

### 2. **Zapiši u obliku potencije s bazom 3 sljedeće brojeve** (Write the following numbers as powers with base 3):
   - a) \(6 \cdot 3^2 \cdot 9^3\)
   - b) \(2 \cdot 9^4 + 15 - 3^{11} + 2 \cdot 27^4\)

### 3. **Provedi kvadriranje** (Perform squaring):
   - a) \((8a + 3)^2\)
   - b) \(\left(\frac{8}{15} b - \frac{5}{12}\right)^2\)

### 4. **Rastavi na faktore sljedeće višelčane izraze** (Factorize the following expressions):
   - a) \(2a - 1(3a + 2) + 2a - 1(2a + 3)\)
   - b) Complex factorization with multiple variables \(a\), \(b\), \(c\), \(x\), etc.

### 5. **Izračunaj** (Calculate):
   - a) Two fractions added and simplified.
   - b) More fraction operations involving \(a\), \(b\), and constants.

### 6. **Nacrataj graf linearne funkcije** (Draw the graph of the linear function):
   - A function is provided, and the task is to graph it and calculate the slope.

### 7. **Sustav jednadžbi riješi uvođenjem novih nepoznanica** (Solve the system of equations by introducing new unknowns):
   - A system of three linear equations is given.

### 8. **Duljine stranica trokuta** (Lengths of triangle sides):
   - Problems involving the calculation of triangle side lengths, including special cases like right triangles and using trigonometry (sine).

### 9. **Duljina druge katete** (Length of the second leg of a right triangle):
   - Given one leg and the hypotenuse, calculate the other leg.

### 10. **Odredi koordinatu četvrtog vrha paralelograma** (Determine the coordinate of the fourth vertex of the parallelogram):
   - Given three coordinates, find the fourth vertex.

Would you like help with a specific problem, or should I go through all of them one by one? Feel free to let me know!

The image contains a set of mathematical problems involving various topics such as arithmetic operations, factorization, functions, and geometry.

This page provides step-by-step solutions to mathematical problems involving algebraic factorization, linear functions, system of equations, and geometric concepts. Suitable for high school students (Grades 9-12), this set of exercises helps reinforce understanding of key formulas and theorems.

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