What is 4+(-1(-2-1))^2 ?

The solution to 4+(-1(-2-1))^2 is 13

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4+(-1(-2-1))^2

4 + (- 1 (- 2 - 1))^{2}

13

Solution steps

4 + (- 1 \cdot (- 2 - 1))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 1 (- 2 - 1)) : 3

- 1 \cdot (- 2 - 1)

Calculate within parentheses

(- 2 - 1) : - 3

- 2 - 1

- 2 - 1 = - 3

= - 3

= - 1 \cdot (- 3)

Multiply and divide (left to right)

- 1 \cdot (- 3) : 3

- 1 \cdot (- 3)

Apply rule

- a \cdot (- b) = a \cdot b

- 1 \cdot (- 3) = 1 \cdot 3 = 3

= 3

= 3

= 4 + 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 4 + 9

Add and subtract (left to right)

4 + 9 : 13

4 + 9

4 + 9 = 13

= 13

= 13

10 \div (3 - 5) \times (2 - 4) + 10 \div (- 3 - 2)

31 + 7 (2)

\frac{1}{2} (78 + 314)

36 - {[(56 + 38) - 79] - 153}

2 \times + 3 \times + 2 + 2