Question

Among the following answers, which one contains only factors of x^(3)-81x?

Answer 1

The factors of
`x^(3-81x)`, we can factor out the common factor, which is x. Now, we can factor the quadratic expression
`x^2 - 81` further using the difference of squares formula. The correct option is : x(x - 9)(x + 9)

The factors of
`x^(3-81x)`, we can factor out the common factor, which is x:

`x(x^2 - 81)`

using the difference of squares formula
`(a^2 - b^2 = (a + b)(a - b)):`

`x(x + 9)(x - 9)`

So, the expression
`x^(3-81x)` can be factored as
`x(x - 9)(x + 9)`. Among the options:

x(x - 9)

x(x + 9)

x(x - 9)(x + 9)

x^2 - 9

The correct answer is option 3: x(x - 9)(x + 9), as it contains only factors of
`x^(3-81x)`.