Question

Factor the following expression completely.

16x^5– x^3
A. (4x^3 – x^2)^2
B. x^3(4x – 1)^2
C. x^3(16x^2 – x)
D. x^3(4x – 1)(4x + 1)

Answer 1

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

Explanation:

Given data

We have the expression

16x^5– x^3

x^3 is a common factor to both terms in the above expression

x^3(16x^2-1)

(16x^2-1) is equal to (4x-1)(4x+1)

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

Hence the factored expression is x^3(4x-1)(4x+1)