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Which expression is equivalent to (x^2 - 2)^5?

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Final answer:

The expression (x^2 - 2)^5 is already presented in its simplest closed form; expanding it would give a sum of terms including powers of x and constants, but would not simplify it further.

Step-by-step explanation:

The question asks which expression is equivalent to (x^2 - 2)^5. That expression represents a binomial raised to the fifth power. To find an equivalent expression, you would typically need to expand the binomial using the binomial theorem. However, without further simplification or context, the expression (x^2 - 2)^5 is already in its simplest closed form, and any expanded form would just be a longer version of the same expression, including terms with powers of x and constants.

An important mathematical concept here is that exponents denote repeated multiplication. For example, 5^2 means 5 multiplied by itself: 5 x 5 = 25. But for an expression like (x^2 - 2)^5, expanding it completely would result in a sum of terms that include x to the 10th power all the way down to the constant -2 raised to the 5th power, which would be quite lengthy.

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