Mathematics, 27.07.2019 05:00 wrightdarius78
Which expression represents 625p4−16 when factored completely over the complex numbers? 1. (25p2+4i)(5p−2i)(5p+2i) 2. (25p2+4i)(25p2−4i) 3. (5p−2i)2(5p+2i)2 4. (5p−2)(5p+2)(5p−2i)(5p+2i)
Answers: 1
![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)](/tpl/images/0137/5943/f0d19.png)
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Which expression represents 625p4−16 when factored completely over the complex numbers? 1. (25p2+4...
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