The factored form of an equation is done by rewriting the equation in simpler forms.
The completely factored form of [tex]x^3 - 64x[/tex] is [tex]x(x-8)(x + 8)[/tex]
The expression is given as:
[tex]x^3 - 64x[/tex]
Factor out x from the expression, [tex]x^3 - 64x[/tex]
[tex]x^3 - 64x = x(x^2-64)[/tex]
Express 64 as 8^2
[tex]x^3 - 64x = x(x^2-8^2)[/tex]
Express the expression as a difference of two squares
[tex]x^3 - 64x = x(x-8)(x + 8)[/tex]
Hence, the completely factored form of [tex]x^3 - 64x[/tex] is [tex]x(x-8)(x + 8)[/tex]
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