What is -(-3)^2-9(-3)+3 ?

The solution to -(-3)^2-9(-3)+3 is 21

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-(-3)^2-9(-3)+3

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

21

Solution steps

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

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 - 9 (- 3) + 3

Multiply and divide (left to right)

9 (- 3) : - 27

9 (- 3)

Apply rule

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

9 (- 3) = - 9 \cdot 3 = - 27

= - 27

= - 9 - (- 27) + 3

Add and subtract (left to right)

- 9 - (- 27) + 3 : 21

- 9 - (- 27) + 3

Apply rule

- (- a) = + a

- (- 27) = + 27

= - 9 + 27 + 3

- 9 + 27 = 18

= 18 + 3

18 + 3 = 21

= 21

= 21

- 1 - 3 \times (- 1) - 4

4 (- 1) + 1

(1 + 1) \times (\frac{1}{2} + 0)

4 [(32 - 5^{2}) - (2^{3} - 1)]

[75 + 25 \times 4^{2}] - 3 \times 3^{3}