What is (6-2)*[-5+2-8\div 4-3*(2-3-6\div 2)] ?

The solution to (6-2)*[-5+2-8\div 4-3*(2-3-6\div 2)] is 28

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(6-2)[-5+2-8\div 4-3(2-3-6\div 2)]

(6 - 2) \cdot [- 5 + 2 - 8 \div 4 - 3 \cdot (2 - 3 - 6 \div 2)]

28

Solution steps

(6 - 2) [- 5 + 2 - 8 \div 4 - 3 (2 - 3 - 6 \div 2)]

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 2) : 4

6 - 2

6 - 2 = 4

= 4

= 4 [- 5 + 2 - 8 \div 4 - 3 (2 - 3 - 6 \div 2)]

Calculate within parentheses

[- 5 + 2 - 8 \div 4 - 3 \cdot (2 - 3 - 6 \div 2)] : 7

- 5 + 2 - 8 \div 4 - 3 (2 - 3 - 6 \div 2)

Calculate within parentheses

(2 - 3 - 6 \div 2) : - 4

2 - 3 - 6 \div 2

Multiply and divide (left to right)

6 \div 2 : 3

6 \div 2

6 \div 2 = 3

= 3

= 2 - 3 - 3

Add and subtract (left to right)

2 - 3 - 3 : - 4

2 - 3 - 3

2 - 3 = - 1

= - 1 - 3

- 1 - 3 = - 4

= - 4

= - 4

= - 5 + 2 - 8 \div 4 - 3 (- 4)

Multiply and divide (left to right)

8 \div 4 : 2

8 \div 4

8 \div 4 = 2

= 2

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

Multiply and divide (left to right)

3 (- 4) : - 12

3 (- 4)

Apply rule

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

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

= - 12

= - 5 + 2 - 2 - (- 12)

Add and subtract (left to right)

- 5 + 2 - 2 - (- 12) : 7

- 5 + 2 - 2 - (- 12)

- 5 + 2 = - 3

= - 3 - 2 - (- 12)

- 3 - 2 = - 5

= - 5 - (- 12)

Apply rule

- (- a) = + a

- (- 12) = + 12

= - 5 + 12

- 5 + 12 = 7

= 7

= 7

= 4 \cdot 7

Multiply and divide (left to right)

4 \cdot 7 : 28

4 \cdot 7

4 \cdot 7 = 28

= 28

= 28

7^{2} - 6^{2}

- 30 + 8 - (- 5) + 1 - 5 - (- 3) + (- 7)

5 - 52 - 8 + 20

- 4 (3)^{2} - 3

6 \cdot 2^{2}

What is (6-2)*[-5+2-8\div 4-3*(2-3-6\div 2)] ?
The solution to (6-2)*[-5+2-8\div 4-3*(2-3-6\div 2)] is 28