Respuesta :

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

Answer:

[tex]\boxed{\boxed{\tt52}}[/tex]

Step-by-step explanation:

[tex]\tt (4 + (- 2))2 - 6(2 - 10)[/tex]

Let's follow the PEMDAS order of operations:

  • Parentheses
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

[tex]\boxed{\tt (4 + (- 2))2 - 6(2 - 10)}[/tex]

1) Calculate within the parentheses:

  • [tex]\tt 4+\left(-2\right)[/tex]
  • [tex]\tt 4-2[/tex]
  • [tex]\tt =2[/tex]

Calculate within the parentheses:-

  • [tex]\tt 2\times \:2-6\left(2-10\right)[/tex]
  • [tex]\tt 2-10[/tex]
  • [tex]\tt =-8[/tex]
  • [tex]\tt 2\times \:2-6\left(-8\right)[/tex]

2) Multiplication/Division:

  • [tex]\tt 2\times \:2[/tex]
  • [tex]\tt =4[/tex]
  • [tex]\tt 4-6\left(-8\right)[/tex]

Multiplication/Division:

  • [tex]\tt 6\left(-8\right)[/tex]
  • [tex]\tt -48[/tex]

3) Addition/Subtraction

  • [tex]\tt 4-\left(-48\right)[/tex]
  • [tex]\tt 4+48[/tex]
  • [tex]\tt 52[/tex]

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