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Write an expression to represent: 4 times the difference of x and 2 .

Write an expression to represent: 44 times the difference of x x and 22 .

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Full solution

Q. Write an expression to represent: 44 times the difference of x x and 22 .
  1. Question Prompt: The question prompt is asking for an expression that represents four times the difference between a variable xx and the number 22.
  2. Representing the Difference: To represent the difference between xx and 22, we use the expression (x−2)(x - 2).
  3. Multiplying the Difference: To represent four times this difference, we multiply the expression (x−2)(x - 2) by 44. This is written as 4×(x−2)4 \times (x - 2) or simply 4(x−2)4(x - 2).
  4. Checking the Expression: We check the expression to ensure it correctly represents the problem statement: 44 times the difference of xx and 22. The expression 4(x−2)4(x - 2) does indeed represent this.

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