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Simplify the following expressions by removing the brackets and finding their values.

Mathematics

ScanSolve AI Answer

Step-by-step solution

12 steps

Here are the expressions with the brackets removed and their simplified values:

  • a) 14+(12+10)14 + (12 + 10)
  1. Remove the brackets.

    Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. 14+12+10 14 + 12 + 10

  2. Simplify the expression.

    $$
    26 + 10 = 36
    $$
    The expression is $\boxed{14 + 12 + 10}$, and its value is $\boxed{36}$.
    
    • b) 14−(12+10)14 - (12 + 10)
  3. Remove the brackets.

    Since there is a '-' sign before the bracket, the signs of the terms inside change. 14−12−10 14 - 12 - 10

  4. Simplify the expression.

    $$
    2 - 10 = -8
    $$
    The expression is $\boxed{14 - 12 - 10}$, and its value is $\boxed{-8}$.
    
    • c) 14+(12−10)14 + (12 - 10)
  5. Remove the brackets.

    Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. 14+12−10 14 + 12 - 10

  6. Simplify the expression.

    $$
    26 - 10 = 16
    $$
    The expression is $\boxed{14 + 12 - 10}$, and its value is $\boxed{16}$.
    
    • d) 14−(12−10)14 - (12 - 10)
  7. Remove the brackets.

    Since there is a '-' sign before the bracket, the signs of the terms inside change. 14−12+10 14 - 12 + 10

  8. Simplify the expression.

    $$
    2 + 10 = 12
    $$
    The expression is $\boxed{14 - 12 + 10}$, and its value is $\boxed{12}$.
    
    • e) −14+(12−10)-14 + (12 - 10)
  9. Remove the brackets.

    Since there is a '+' sign before the bracket, the signs of the terms inside remain the same. −14+12−10 -14 + 12 - 10

  10. Simplify the expression.

    $$
    -2 - 10 = -12
    $$
    The expression is $\boxed{-14 + 12 - 10}$, and its value is $\boxed{-12}$.
    
    • f) 14−(−12−10)14 - (-12 - 10)
  11. Remove the brackets.

    Since there is a '-' sign before the bracket, the signs of the terms inside change. 14+12+10 14 + 12 + 10

  12. Simplify the expression.

    $$
    26 + 10 = 36
    $$
    The expression is $\boxed{14 + 12 + 10}$, and its value is $\boxed{36}$.
    
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