Question

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

Answer 1

Answer:

$x(x - 8)(x + 8)$

Step-by-step explanation:

${x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)$

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Answer 2

Answer:

x( x-8)(x+8)

Step-by-step explanation:

x^3 - 64x

Factor out an x

x( x^2 -64)

This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)

x( x-8)(x+8)