PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Factor the expression over the complex numbers. x4 - 625

asked Dec 9, 2019 132k views

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Factor the expression over the complex numbers.

x4 - 625

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5 votes

$x^4-625=(x^2)^2-25^2=(x^2-25)(x^2+25)\\\\=(x^2-5^2)(x^2-(5i)^2)\\\\=(x-5)(x+5)(x-5i)(x+5i)\\\\Used\ a^2-b^2=(a-b)(a+b)$

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7 votes

$x^4-625=\\\\ (x^2-25)(x^2+25)=\\\\ (x-5)(x+5)(x-5i)(x+5i)$

Xezuka answered Dec 16, 2019

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