Can someone help me factor this problem????

Question

2x^4 + 16x

can you show me the steps so that i know how to do it...thank you :)

Answer 1

2x^4+16x

(2x^2+4x)(x^2+4)

Answer 2

2x^4 + 16x

2x(x^3 +8)

2x(x+2)(x^2 -2x+4)

you need to know that a^3 + b^3 = (a+b)(a^2 - ab +b^2)

Answer 3

2x is the factor common to both terms in your expressio, so

2x^4 + 16x = 2x (x^3 + 8)

Answer 4

Factor out 2x from each term:

2x(x^3 + 8)

Factor the second term further to get:

2x(x + 2)(x^2 - 2x + 4)

Because x^3 + a^3 = (x + a)(x^2 - ax + a^2), and 8 is 2^3