Question

Factor the following expression completely. 16x^5-x^3
A.

B.

C.

D.

Answer 1

Answer:

x^3(2x+1)(2x-1)

Step-by-step explanation:

first take common then use formula of a^2-b^2

Answer 2

Answer:

The factor of the provided expression are: $x^3(4x-1)(4x+1)$

Step-by-step explanation:

Consider the provided expression.

$16x^5-x^3$

Here the Greatest common factor in the above expression is x³.

The above expression can be written as:

$x^3(16x^2-1)$

$x^3((4x)^2-1^2)$

Now use the difference of the square property: $a^2-b^2=(a+b)(a-b)$

By using the above property we can rewrite the provided expression as shown:

$x^3(4x-1)(4x+1)$

Hence, the factor of the provided expression are: $x^3(4x-1)(4x+1)$