What is the completely factored form of x3 – 64x?

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Question:

What is the completely factored form of x3 – 64x?

x(x – 8)(x – 8)
(x-4){x^2+4x+16}
x(x – 8)(x + 8)
(x – 4)(x + 4)(x + 4)

Answer:

The answer is x(x-8)(x+8)
Here is the process;
x^3-64x
x(x^2-64)
You know that it will be a x- and a x+ becuase there is no middle x value
x(x-)(x+)
x(x-8)(x+8)

They can potentially hopefully help the student handle the question by making use of the questions and answer examples. You can potentially then have a discussion with your classmate and continue the school learning by studying the problem mutually.

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