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

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

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

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

- 2

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - 9 - 2 (- 3) + 1

Multiply and divide (left to right)

2 (- 3) : - 6

2 (- 3)

Apply rule

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

2 (- 3) = - 2 \cdot 3 = - 6

= - 6

= - 9 - (- 6) + 1

Add and subtract (left to right)

- 9 - (- 6) + 1 : - 2

- 9 - (- 6) + 1

Apply rule

- (- a) = + a

- (- 6) = + 6

= - 9 + 6 + 1

- 9 + 6 = - 3

= - 3 + 1

- 3 + 1 = - 2

= - 2

= - 2

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

- 5 (0)^{2} + 5 (0) + 5

2 (8 - 4) + 3 (1 - 5) + 10

1 1^{2} + 11

(7 - 3)^{2} \div 2