Question

Factor: 2x^4 + 16X

Answer 1

The best you can do is take out a 2

Answer 2

I'll assume that x and X are the same (typically they aren't)
Take out 2x from this equation:
\(2x(x^3+8)\)
Now here's a shortcut: 2^3 = 8. So apply the perfect cube identity \(a^3+b^3 = (a+b)(a^2-ab+b^2)\):
\(2x(x+2)(x^2-2x+4)\).