What is 6^2+6(12-6)^2 ?

The solution to 6^2+6(12-6)^2 is 252

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6^2+6(12-6)^2

6^{2} + 6 (12 - 6)^{2}

252

Solution steps

6^{2} + 6 (12 - 6)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 6) : 6

= 6^{2} + 6 \cdot 6^{2}

Calculate exponents

6^{2} : 36

= 36 + 6 \cdot 6^{2}

Calculate exponents

6^{2} : 36

= 36 + 6 \cdot 36

Multiply and divide (left to right)

6 \cdot 36 : 216

= 36 + 216

Add and subtract (left to right)

36 + 216 : 252

= 252

(- 68) \div 4 - (- 3) \times 6

75 + (- 120) + (- 30) + 75

9 + 8 \div (- 4) - 12

4 \times (- 9) + (- 3) \times (- 8)

7 + (4 - 1) \times 6