What is 5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4) ?

The solution to 5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4) is 2

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5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4)

5 (4 - 5) 2 + 3 (5 - 1) - 2 (1 + 2) 2 (2) + 2 (3) (4)

2

Solution steps

5 (4 - 5) \cdot 2 + 3 (5 - 1) - 2 (1 + 2) \cdot 2 (2) + 2 (3) (4)

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 5) : - 1

4 - 5

4 - 5 = - 1

= - 1

= 5 (- 1) \cdot 2 + 3 (5 - 1) - 2 (1 + 2) \cdot 2 (2) + 2 (3) (4)

Calculate within parentheses

(5 - 1) : 4

5 - 1

5 - 1 = 4

= 4

= 5 (- 1) \cdot 2 + 3 \cdot 4 - 2 (1 + 2) \cdot 2 (2) + 2 (3) (4)

Calculate within parentheses

(1 + 2) : 3

1 + 2

1 + 2 = 3

= 3

= 5 (- 1) \cdot 2 + 3 \cdot 4 - 2 \cdot 3 \cdot 2 (2) + 2 (3) (4)

Multiply and divide (left to right)

5 (- 1) \cdot 2 : - 10

5 (- 1) \cdot 2

Apply rule

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

5 (- 1) = - 5 \cdot 1 = - 5

= - 5 \cdot 2

- 5 \cdot 2 = - 10

= - 10

= - 10 + 3 \cdot 4 - 2 \cdot 3 \cdot 2 (2) + 2 (3) (4)

Multiply and divide (left to right)

3 \cdot 4 : 12

3 \cdot 4

3 \cdot 4 = 12

= 12

= - 10 + 12 - 2 \cdot 3 \cdot 2 (2) + 2 (3) (4)

Multiply and divide (left to right)

2 \cdot 3 \cdot 2 (2) : 24

2 \cdot 3 \cdot 2 (2)

2 \cdot 3 = 6

= 6 \cdot 2 (2)

6 \cdot 2 = 12

= 12 (2)

12 (2) = 24

12 (2)

Apply rule:

(a) = a

(2) = 2

= 12 \cdot 2

Multiply the numbers:

12 \cdot 2 = 24

= 24

= 24

= - 10 + 12 - 24 + 2 (3) (4)

Multiply and divide (left to right)

2 (3) (4) : 24

2 (3) (4)

2 (3) = 6

2 (3)

Apply rule:

(a) = a

(3) = 3

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

= 6 (4)

6 (4) = 24

6 (4)

Apply rule:

(a) = a

(4) = 4

= 6 \cdot 4

Multiply the numbers:

6 \cdot 4 = 24

= 24

= 24

= - 10 + 12 - 24 + 24

Add and subtract (left to right)

- 10 + 12 - 24 + 24 : 2

- 10 + 12 - 24 + 24

- 10 + 12 = 2

= 2 - 24 + 24

2 - 24 = - 22

= - 22 + 24

- 22 + 24 = 2

= 2

= 2

3 (0)^{2} - 8 (0) + 3

3 (8 + (- 5))

3 (3^{2} + 3) - 14 + 4 (5 - 2)^{2} - 2

6 - 81 - 73

- 2 \cdot (1 - 2 \cdot (1 - 2))

What is 5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4) ?
The solution to 5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4) is 2