This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the expressions with the brackets removed and their simplified values: a) 14 + (12 + 10) Step 1: Remove the brackets. Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. 14 + 12 + 10 Step 2: Simplify the expression. 26 + 10 = 36 The expression is 14 + 12 + 10, and its value is 36. b) 14 - (12 + 10) Step 1: Remove the brackets. Since there is a '-' sign before the bracket, the signs of the terms inside change. 14 - 12 - 10 Step 2: Simplify the expression. 2 - 10 = -8 The expression is 14 - 12 - 10, and its value is -8. c) 14 + (12 - 10) Step 1: Remove the brackets. Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. 14 + 12 - 10 Step 2: Simplify the expression. 26 - 10 = 16 The expression is 14 + 12 - 10, and its value is 16. d) 14 - (12 - 10) Step 1: Remove the brackets. Since there is a '-' sign before the bracket, the signs of the terms inside change. 14 - 12 + 10 Step 2: Simplify the expression. 2 + 10 = 12 The expression is 14 - 12 + 10, and its value is 12. e) -14 + (12 - 10) Step 1: Remove the brackets. Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. -14 + 12 - 10 Step 2: Simplify the expression. -2 - 10 = -12 The expression is -14 + 12 - 10, and its value is -12. f) 14 - (-12 - 10) Step 1: Remove the brackets. Since there is a '-' sign before the bracket, the signs of the terms inside change. 14 + 12 + 10 Step 2: Simplify the expression. 26 + 10 = 36 The expression is 14 + 12 + 10, and its value is 36.