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

The solution to (-2)^2-6(-2)+9 is 25

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

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

25

Solution steps

(- 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

= 4 - 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

= 4 - (- 12) + 9

Add and subtract (left to right)

4 - (- 12) + 9 : 25

4 - (- 12) + 9

Apply rule

- (- a) = + a

- (- 12) = + 12

= 4 + 12 + 9

4 + 12 = 16

= 16 + 9

16 + 9 = 25

= 25

= 25

(5 - 4)^{2}

(2 \cdot 3)^{3}

(- 6) + (+ 4) + (+ 1) + (- 4)

37 + [- 25 - (- 11 + 19 - 4)]

(- 5 - 10 - 32) \times (4 - 8 - 16)