Question

Which expression represents 625p4−16

Answer 1

Correct Answer: 4th Option

The step by step solution is shown below:

$625 p^{4} -16 \\ \\ = (25 p^{2} )^{2} - (4)^{2} \\ \\ =(25 p^{2} +4)(25 p^{2} -4) \\ \\ =[(5p)^{2} + (2)^{2} ][(5p)^{2} - (2)^{2} ] \\ \\ =[(5p)^{2} - (i)^{2} (2)^{2} ][(5p)^{2} - (2)^{2} ] \\ \\ = (5p +2i)(5p-2i)(5p+2)(5p-2)$