What is -(-3)^2-4(-3)+5 ?

The solution to -(-3)^2-4(-3)+5 is 8

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-(-3)^2-4(-3)+5

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

8

Solution steps

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

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 - 4 (- 3) + 5

Multiply and divide (left to right)

4 (- 3) : - 12

4 (- 3)

Apply rule

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

4 (- 3) = - 4 \cdot 3 = - 12

= - 12

= - 9 - (- 12) + 5

Add and subtract (left to right)

- 9 - (- 12) + 5 : 8

- 9 - (- 12) + 5

Apply rule

- (- a) = + a

- (- 12) = + 12

= - 9 + 12 + 5

- 9 + 12 = 3

= 3 + 5

3 + 5 = 8

= 8

= 8

\frac{4}{3} (3)^{0}

- 12 - \frac{4}{28} - \frac{15}{12}

- 1 - \frac{3}{7} (- 3)^{2}

+ 8 - 30 - 50

5 (1500) + 3