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

The solution to (-1)^2-2(-1)-1 is 2

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(-1)^2-2(-1)-1

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

2

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1 - 2 (- 1) - 1

Multiply and divide (left to right)

2 (- 1) : - 2

2 (- 1)

Apply rule

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

2 (- 1) = - 2 \cdot 1 = - 2

= - 2

= 1 - (- 2) - 1

Add and subtract (left to right)

1 - (- 2) - 1 : 2

1 - (- 2) - 1

Apply rule

- (- a) = + a

- (- 2) = + 2

= 1 + 2 - 1

1 + 2 = 3

= 3 - 1

3 - 1 = 2

= 2

= 2

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

6 (4) - 8

12 (4 - (- 2 (5 - 1 - 9)) - 1 + 2) \times 3

\frac{1}{4} (3) + 2

1^{2} + \frac{1}{2}