What is 1-(5-3+2)-(5-(6-3+1)-2) ?

The solution to 1-(5-3+2)-(5-(6-3+1)-2) is -2

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1-(5-3+2)-(5-(6-3+1)-2)

1 - (5 - 3 + 2) - (5 - (6 - 3 + 1) - 2)

- 2

Solution steps

1 - (5 - 3 + 2) - (5 - (6 - 3 + 1) - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 3 + 2) : 4

= 1 - 4 - (5 - (6 - 3 + 1) - 2)

Calculate within parentheses

(5 - (6 - 3 + 1) - 2) : - 1

= 1 - 4 - (- 1)

Add and subtract (left to right)

1 - 4 - (- 1) : - 2

= - 2

3^{2} + (- 4^{2})

3^{3} - 2^{3}

- 9 + 16 \div 2

2 - 3 (- 1)

- 2 \cdot 3 - 4 + 2 - 2