College Algebra CLEP Prep Practice Exam

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Factor 8x4 - 64

(2x2 - 8)(2x2 + 8)
(2x2 - 8)(4x2 - 8)
(4x2 - 8)(4x2 + 8)
(2x2 + 8)(4x2 + 8)

The correct answer is: (2x2 - 8)(2x2 + 8)

8x4 - 64 can be factored into (2x2 - 8)(2x2 + 8) because we can pull out a common factor of 8 from both terms, giving us 8(x4 - 8). Then, we can see that the expression inside the parentheses can be further factored into a difference of squares, resulting in (2x2 - 8)(2x2 + 8). The other options, B, C, and D, do not have a common factor of 8 and cannot be factored using the difference of squares formula.