What is -(-1)^2-2(-1)+3 ?

The solution to -(-1)^2-2(-1)+3 is 4

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-(-1)^2-2(-1)+3

- (- 1)^{2} - 2 (- 1) + 3

4

Solution steps

- (- 1)^{2} - 2 (- 1) + 3

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) + 3

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) + 3

Add and subtract (left to right)

- 1 - (- 2) + 3 : 4

- 1 - (- 2) + 3

Apply rule

- (- a) = + a

- (- 2) = + 2

= - 1 + 2 + 3

- 1 + 2 = 1

= 1 + 3

1 + 3 = 4

= 4

= 4

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

76 + (- 17) + (- 25) + 4

104 + 22 \times 36 - 225 \div 25 - 15 \times 5 + 5

5^{2} - 4^{2} - 3^{2}

\frac{- 3 - 1}{- 3 + 1}