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Evaluate the expression: 3 + (12 ÷ 4)² × 2

Mathematics

ScanSolve AI Answer

Answer

21\text{21}

Step-by-step solution

4 steps

Here is the solution to the expression:

3+(12÷4)2×23 + (12 \div 4)^2 \times 2
  1. Perform the operation inside the parentheses.

    12÷4=312 \div 4 = 3

    The expression becomes:

    3+(3)2×23 + (3)^2 \times 2
  2. Evaluate the exponent.

    (3)2=3×3=9(3)^2 = 3 \times 3 = 9

    The expression becomes:

    3+9×23 + 9 \times 2
  3. Perform the multiplication.

    9×2=189 \times 2 = 18

    The expression becomes:

    3+183 + 18
  4. Perform the addition.

    3+18=213 + 18 = 21

    The final answer is 21\text{21}.

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