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Question from Taylor, a student:

Hi, I am having trouble factoring x^6-64. Could you help me?

Hi Taylor,

What you need to notice is that $64 = 2^6,$ and then you can write

\[x^6 - 64 = x^6 - 2^6 = \left(x^3\right)^2 - \left(2^3\right)^2\]

Penny

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