Question

(4 + - 2)2 - 6(2 - 10)

Answer 1

(4-2)2 - 6(2-10)
(2)2 - 6(-8)
4 - -48
52

Answer 2

`\boxed{\boxed{\tt52}}`

Explanation:

`\tt (4 + (- 2))2 - 6(2 - 10)`

Let's follow the PEMDAS order of operations:

• Parentheses

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

`\boxed{\tt (4 + (- 2))2 - 6(2 - 10)}`

1) Calculate within the parentheses:

• 
  `\tt 4+\left(-2\right)`

• 
  `\tt 4-2`

• 
  `\tt =2`

Calculate within the parentheses:-

• 
  `\tt 2* \:2-6\left(2-10\right)`

• 
  `\tt 2-10`

• 
  `\tt =-8`

• 
  `\tt 2* \:2-6\left(-8\right)`

2) Multiplication/Division:

• 
  `\tt 2* \:2`

• 
  `\tt =4`

• 
  `\tt 4-6\left(-8\right)`

Multiplication/Division:

• 
  `\tt 6\left(-8\right)`

• 
  `\tt -48`

3) Addition/Subtraction

• 
  `\tt 4-\left(-48\right)`

• 
  `\tt 4+48`

• 
  `\tt 52`

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