What is -3(-2)^2-6(-2)+9 ?

The solution to -3(-2)^2-6(-2)+9 is 9

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-3(-2)^2-6(-2)+9

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

9

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= - 3 \cdot 4 - 6 (- 2) + 9

Multiply and divide (left to right)

- 3 \cdot 4 : - 12

- 3 \cdot 4

- 3 \cdot 4 = - 12

= - 12

= - 12 - 6 (- 2) + 9

Multiply and divide (left to right)

6 (- 2) : - 12

6 (- 2)

Apply rule

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

6 (- 2) = - 6 \cdot 2 = - 12

= - 12

= - 12 - (- 12) + 9

Add and subtract (left to right)

- 12 - (- 12) + 9 : 9

- 12 - (- 12) + 9

Apply rule

- (- a) = + a

- (- 12) = + 12

= - 12 + 12 + 9

- 12 + 12 = 0

= 0 + 9

0 + 9 = 9

= 9

= 9

2 (1)^{2} - 1 + 2

- [(8 + 3) - (5 - 1)] + [(8 - 3) - (5 - 1)]

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

(4 - 3)^{3}

\frac{1}{2} - (\frac{2}{3} + \frac{1}{2})