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The expression x² + 8 cannot be solved using the sum or difference of two cubes formula because it does not fit the form of a sum or difference of two cubes.

The sum of two cubes formula is: a³ + b³ = (a + b)(a² - ab + b²)

The difference of two cubes formula is: a³ - b³ = (a - b)(a² + ab + b²)

In the expression x² + 8, there is no cube term or a difference between two cube terms. Therefore, the sum or difference of two cubes formula cannot be applied to solve it.

The sum of two cubes formula is: a³ + b³ = (a + b)(a² - ab + b²)

The difference of two cubes formula is: a³ - b³ = (a - b)(a² + ab + b²)

In the expression x² + 8, there is no cube term or a difference between two cube terms. Therefore, the sum or difference of two cubes formula cannot be applied to solve it.