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

The solution to (-2)^2-3(-2)3+(3)^2 is 31

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

31

Solution steps

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

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

Calculate exponents

(3)^{2} : 9

(3)^{2}

(3)^{2} = 9

= 9

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

Multiply and divide (left to right)

3 (- 2) \cdot 3 : - 18

3 (- 2) \cdot 3

Apply rule

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

3 (- 2) = - 3 \cdot 2 = - 6

= - 6 \cdot 3

Apply rule

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

(- 6) \cdot 3 = - 6 \cdot 3 = - 18

= - 18

= 4 - (- 18) + 9

Add and subtract (left to right)

4 - (- 18) + 9 : 31

4 - (- 18) + 9

Apply rule

- (- a) = + a

- (- 18) = + 18

= 4 + 18 + 9

4 + 18 = 22

= 22 + 9

22 + 9 = 31

= 31

= 31

(- 9) \times (+ 4 - 8 + 6 - 2 + 5)

8 - 1 + \frac{1}{8} - \frac{1}{64}

(\frac{96}{82} - 1) 100

\frac{1}{4} + 4 - \frac{1}{2}

\frac{- 2 + 5 - 7}{- 2 - 2}