Question

Select the expression that is equivalent to the given polynomial.

16x^4-625

Answer 1

I think it is the last one b.c. the first part of the equation//(2x+5)(2x-5) = 16x^4-625 b.c of the fomrmula x^2-y^2...
the last part i is most likely imaginary number which has a value of -1...but you want x^2 - y^2 remember (16x^2-625) so then its the last one
Hope that helps

Answer 2

Answer:      (2x+5)(2x-5)(2x+i5)(2x-i5)

Step-by-step explanation:   $16x^4-625$

                         =  $2^4x^4-5^4$

                         =  $(2x)^4-5^4$

                         =  $((2x)^2-5^2)((2x)^2+5^2)$   (∵ a²-b²=(a-b)(a+b))

                         =   (2x+5)(2x-5)(2x+i5)(2x-i5)