Question

What is the completely factored form of x3 â€"" 64x? x(x â€"" 8)(x â€"" 8) (x minus 4) (x squared 4 x 16) x(x â€"" 8)(x 8) (x â€"" 4)(x 4)(x 4).

Answer 1

The factored form of an equation is done by rewriting the equation in simpler forms.

The completely factored form of $x^3 - 64x$ is $x(x-8)(x + 8)$

The expression is given as:

$x^3 - 64x$

Factor out x from the expression, $x^3 - 64x$

$x^3 - 64x = x(x^2-64)$

Express 64 as 8^2

$x^3 - 64x = x(x^2-8^2)$

Express the expression as a difference of two squares

$x^3 - 64x = x(x-8)(x + 8)$

Hence, the completely factored form of $x^3 - 64x$ is $x(x-8)(x + 8)$

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