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

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

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

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

2

Solution steps

3 (- 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

= 3 \cdot 1 - 2 (- 1) - 3

Multiply and divide (left to right)

3 \cdot 1 : 3

3 \cdot 1

3 \cdot 1 = 3

= 3

= 3 - 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

= 3 - (- 2) - 3

Add and subtract (left to right)

3 - (- 2) - 3 : 2

3 - (- 2) - 3

Apply rule

- (- a) = + a

- (- 2) = + 2

= 3 + 2 - 3

3 + 2 = 5

= 5 - 3

5 - 3 = 2

= 2

= 2

[(- 60) \div (- 10)] \div 3 + 2 (5 - 9)

- 15 - 4 + 18 - 10 - 11 + 8

4 (1)^{3} - 2 (1)

2 (1 0^{2} + 1) - 3 (1 0^{2} + 5) + 4 (1 0^{2} - 1)

9 \cdot (1 + 5%)