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

Question

Amy

Mathematics

19 July, 20:00

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

+5

Answers (2)

Know the Answer?

Missie · Answer 1

X^ (16x^2-1) factor the expression

The answer to the graph

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

Alexis Miller · Answer 2

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

Step-by-step explanation:

To start, let's note that to factor something, we need to GCF (Greatest common factor). Notice that we have a 16 and 1 as the coefficients, but because there is a 1, there is a coefficient of 1 in the GCF. Now notice that in x^5 and x^3, the GCF is x^3. So, we get x^3 (16x^2 - 1). But, we are not done yet! 16x^2 - 1 is a difference of squares, where a^2 - b^2 = (a + b) (a - b), so a is 4x and b is 1, so we get (4x + 1) (4x - 1), so the final answer is x^3 (4x + 1) (4x - 1).