Subjects algebra

Bracket Simplification 3984Bc

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1. **Stating the problem:** Simplify the expression involving a mixture of all types of brackets and the Venquliam notation (assuming it means a complex nested expression with various brackets). 2. **Understanding the brackets:** We have parentheses $()$, square brackets $[]$, curly braces ${}$, and possibly angle brackets $\langle \rangle$ or other notation. The key rule is to simplify from the innermost brackets outward. 3. **Example expression:** Consider $$\left\{\left[\left(2 + 3\right) \times \left\langle 4 - 1 \right\rangle\right] + \frac{6}{3}\right\}$$ 4. **Step-by-step simplification:** - Innermost parentheses: $\left(2 + 3\right) = 5$ - Innermost angle brackets: $\left\langle 4 - 1 \right\rangle = 3$ - Substitute back: $$\left\{\left[5 \times 3\right] + \frac{6}{3}\right\}$$ - Multiply inside square brackets: $5 \times 3 = 15$ - Simplify fraction: $$\frac{6}{3} = \cancel{\frac{6}{3}} = 2$$ - Substitute back: $$\left\{15 + 2\right\}$$ - Add inside curly braces: $15 + 2 = 17$ 5. **Final answer:** $$17$$ This process shows how to handle mixed brackets by simplifying innermost expressions first, then moving outward, applying arithmetic operations stepwise.