What is 3(12-2(3))^2 ?

The solution to 3(12-2(3))^2 is 108

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3(12-2(3))^2

3 (12 - 2 (3))^{2}

108

Solution steps

3 (12 - 2 (3))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 2 (3)) : 6

12 - 2 (3)

Multiply and divide (left to right)

2 (3) : 6

2 (3)

Apply rule:

(a) = a

(3) = 3

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

= 12 - 6

Add and subtract (left to right)

12 - 6 : 6

12 - 6

12 - 6 = 6

= 6

= 6

= 3 \cdot 6^{2}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 3 \cdot 36

Multiply and divide (left to right)

3 \cdot 36 : 108

3 \cdot 36

3 \cdot 36 = 108

= 108

= 108

(3) + (- 8) - (- 3)

16 + 40 - 8 - 24 + 72 - 64

3 - (- 2)^{2}

24 \div 2^{3}

\frac{1}{2} - \frac{1}{6}