326,548 views
42 votes
42 votes
Factor the following expression completely. 16x^5-x^3

User Derek Slager
by
3.2k points

2 Answers

29 votes
29 votes

Answer:

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

Explanation:

16x^5-x^3

Factor out x^3

16* x^2*x^3 - x^3

x^3(16x^2 -1)

The term inside the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

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

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

User Emulbreh
by
2.8k points
15 votes
15 votes

Answer:

x³ (4x + 1)(4x - 1)

Explanation:

User Jeff Hines
by
2.8k points