What is 12-2(6-3)^2\div 3 ?

The solution to 12-2(6-3)^2\div 3 is 6

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12-2(6-3)^2\div 3

12 - 2 (6 - 3)^{2} \div 3

6

Solution steps

12 - 2 (6 - 3)^{2} \div 3

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 3) : 3

6 - 3

6 - 3 = 3

= 3

= 12 - 2 \cdot 3^{2} \div 3

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 12 - 2 \cdot 9 \div 3

Multiply and divide (left to right)

2 \cdot 9 \div 3 : 6

2 \cdot 9 \div 3

2 \cdot 9 = 18

= 18 \div 3

18 \div 3 = 6

= 6

= 12 - 6

Add and subtract (left to right)

12 - 6 : 6

12 - 6

12 - 6 = 6

= 6

= 6

2 5^{2} + {4 \cdot 5 (8 - 5) + 4}

7 + 5 \times 3 - (1 \times 5 + 16) \div 8 + (4 \times 2)

9 - 5 \times 8 + (54 \div 6 - 5) - (3 - 12)

2 - 20 \div 5 \times 3

4^{3} + 2^{3}