Comparison of Quadratic Expressions

Very Hard Algebra Expressions, Equations, And Inequalities

Consider two quantities defined by the equations below:

Quantity A: $$x^2 - 4x + 4$$

Quantity B: $$2(x - 2)^2$$

Determine the relationship between Quantity A and Quantity B. What inequality holds when both quantities are simplified?

Quantity A is greater than Quantity B.

Quantity A is less than Quantity B.

Quantity A is equal to Quantity B.

The relationship cannot be determined from the information given.

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