What is (-3)^2-2(-3)-8 ?

The solution to (-3)^2-2(-3)-8 is 7

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(-3)^2-2(-3)-8

(- 3)^{2} - 2 (- 3) - 8

7

Solution steps

(- 3)^{2} - 2 (- 3) - 8

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) - 8

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) - 8

Add and subtract (left to right)

9 - (- 6) - 8 : 7

9 - (- 6) - 8

Apply rule

- (- a) = + a

- (- 6) = + 6

= 9 + 6 - 8

9 + 6 = 15

= 15 - 8

15 - 8 = 7

= 7

= 7

[8 + (10 - 9)] \div (12 - 10)^{2}

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

3 (- 1)^{2} + 6 (- 1) - 9

- 261 + 428 + (- 176)

\frac{3}{4} (0) - 2