DommYoung DommYoung

05-04-2016
Mathematics

Answered

What is the completely factored form of x^3 – 64x?

Ax(x – 8)(x – 8)
B(x - 4) (x^2 + 4x + 16)
Cx(x – 8)(x + 8)
D(x – 4)(x + 4)(x + 4)

Verified Answer :

Exvited Exvited

05-04-2016

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

The final result is: C) x(x - 8)(x + 8).

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