Mathematics: . Which expression represents 625p4-16 when factored completely over the complex numbers?

. Which expression represents 625p4-16 when factored

Ответ:

pr47723

23.01.2022

$(5p - 2)(5p + 2)(25 {p}^{2} + 4)$

Step-by-step explanation:

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

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Ответ:

keee92

18.04.2020

Mathematics

Options a is the answer

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.
Which expression represents

625p4-16
when factored completely over the complex numbers?

Ответ:

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