1. **Problem statement:** We are given the product term $$T = 1,5x \cdot (3x + y - 2)$$ which represents the area of the blue rectangle. 2. **Explanation of the product term:** The area of a rectangle is calculated by multiplying its height by its width. Here, the height is $$1,5x$$ and the width is $$3x + y - 2$$. Therefore, the product term $$T = 1,5x \cdot (3x + y - 2)$$ correctly represents the area of the blue rectangle. 3. **Convert the product term to a sum term:** We apply the distributive property (also called the distributive law) which states: $$a(b + c + d) = ab + ac + ad$$ 4. **Using a multiplication grid (Malkreuz):** Multiply $$1,5x$$ by each term inside the parentheses: - $$1,5x \cdot 3x = 4,5x^2$$ - $$1,5x \cdot y = 1,5xy$$ - $$1,5x \cdot (-2) = -3x$$ 5. **Sum term:** Combining these results, the sum term is: $$T = 4,5x^2 + 1,5xy - 3x$$ This sum term expresses the same area as the original product term but expanded. **Final answer:** $$T = 4,5x^2 + 1,5xy - 3x$$