What is -(-3)^2+3(-3)-4 ?

The solution to -(-3)^2+3(-3)-4 is -22

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-(-3)^2+3(-3)-4

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

- 22

Solution steps

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

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 + 3 (- 3) - 4

Multiply and divide (left to right)

3 (- 3) : - 9

3 (- 3)

Apply rule

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

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

= - 9

= - 9 - 9 - 4

Add and subtract (left to right)

- 9 - 9 - 4 : - 22

- 9 - 9 - 4

- 9 - 9 = - 18

= - 18 - 4

- 18 - 4 = - 22

= - 22

= - 22

\frac{3 + 4 ( 4 ) + 11}{6}

\frac{1}{2} (6) + 1

4 - 9 \times 6 - 7

\frac{5 ( 5 ) ^{2} + 5 - 6}{2 ( 5 ) ^{2} - 5 ( 5 )}

4 (1 + 9)