What is -(-2)^2-(6\times (-3))+3 ?

The solution to -(-2)^2-(6\times (-3))+3 is 17

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-(-2)^2-(6\times (-3))+3

- (- 2)^{2} - (6 \cdot (- 3)) + 3

17

Solution steps

- (- 2)^{2} - (6 (- 3)) + 3

Follow the PEMDAS order of operations

Calculate within parentheses

(6 \cdot (- 3)) : - 18

6 (- 3)

Apply rule

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

6 (- 3) = - 6 \cdot 3 = - 18

= - 18

= - (- 2)^{2} - (- 18) + 3

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= - 4 - (- 18) + 3

Add and subtract (left to right)

- 4 - (- 18) + 3 : 17

- 4 - (- 18) + 3

Apply rule

- (- a) = + a

- (- 18) = + 18

= - 4 + 18 + 3

- 4 + 18 = 14

= 14 + 3

14 + 3 = 17

= 17

= 17

9 + (- 6) + (- 7)

15 - 3 \cdot 2

(9)^{2} - 22 (9) + 120

- 3 - (- 60) - 21 + 40 + 36 + (- 51) + (- 39)

15 + (- 13) + (- 48) + 12

What is -(-2)^2-(6\times (-3))+3 ?
The solution to -(-2)^2-(6\times (-3))+3 is 17