Select the expression that is equivalent to the given polynomial.
16x^4-625

Answer: (2x+5)(2x-5)(2x+i5)(2x-i5)
Step-by-step explanation: [tex]16x^4-625[/tex]
= [tex]2^4x^4-5^4[/tex]
= [tex](2x)^4-5^4[/tex]
= [tex]((2x)^2-5^2)((2x)^2+5^2)[/tex] (∵ a²-b²=(a-b)(a+b))
= (2x+5)(2x-5)(2x+i5)(2x-i5)