When factored completely the expression p^4-81 is equivalent to

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04-06-2017
Mathematics

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When factored completely the expression p^4-81 is equivalent to

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Tucon Tucon · Answer 1 · 2017-06-04T18:54:03+02:00

Tucon Tucon

04-06-2017

[tex]\displaystyle\\ p^4 - 81 =\\\\ =p^4-3^4 =\\\\ = \Big(p^2\Big)^2 - \Big(3^2\Big)^2 =\\\\ =\Big(p^2+3^2\Big)\Big(p^2-3^2\Big)=\\\\ =\boxed{\bf \Big(p^2+3^2\Big)\Big(p+3\Big)\Big(p-3\Big)}[/tex]

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