Question

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)

Answer 1

`\huge \underline\frak \red{Answer}`

`\small\mathbb\orange{x³-64x}`

`\small\mathbb\orange{x(x²-64)}`

`\small\mathbb\orange{know \: that \: it \: will \: be \: a \: x- and \: a \: because}`

`\small\mathbb\orange{there \: is \: no \: middle \: x \: value}`

`\small\mathbb\orange{x-)(x+)}`

`\small\mathbb\orange{x(x \: — \: 8) (x+8)}`

______________________________________

`\small\frak\green{hope \: its \: helpful \: to \: you}`

Answer 2

3rd option

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)