What is the completely factored form of x3 – 64x?
x(x – 8)(x – 8)
(x minus 4) (x squared + 4 x + 16)
x(x – 8)(x + 8)
(x – 4)(x + 4)(x + 4)

Respuesta :

Answer:

3rd option

Step-by-step explanation:

x³ - 64x ← factor out x from each term

= x(x² - 64) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 64

= x² - 8²

= (x - 8)(x + 8)

then

x³ - 64x = x(x - 8)(x + 8)

[tex] \huge \underline\frak \red{Answer}[/tex]

[tex]\small\mathbb\orange{x³-64x}[/tex]

[tex]\small\mathbb\orange{x(x²-64)}[/tex]

[tex]\small\mathbb\orange{know \: that \: it \: will \: be \: a \: x- and \: a \: because}[/tex]

[tex]\small\mathbb\orange{there \: is \: no \: middle \: x \: value}[/tex]

[tex]\small\mathbb\orange{x-)(x+)}[/tex]

[tex]\small\mathbb\orange{x(x \: — \: 8) (x+8)}[/tex]

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[tex]\small\frak\green{hope \: its \: helpful \: to \: you}[/tex]