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Why isnt x²-8 a difference of prefect sqaures?

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Final answer:

The expression x²-8 is not a difference of perfect squares because while x² is a perfect square, 8 is not the square of any integer.

Step-by-step explanation:

The expression x²-8 is not a difference of perfect squares. A difference of perfect squares takes the form a² - b², where both a and b are perfect squares. In the expression given, x² is a perfect square, but -8 is not, as there is no integer that when squared gives -8. Hence, we cannot factor this expression as a difference of perfect squares.

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