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16-07-2018
Mathematics

contestada

Factor over the complex numbers: 36x2 + 9.

Respuesta :

16-07-2018

[tex] 36x^2+9=(6x)^2-(-9)=(6x)^2-(-3^2)\\\\=(6x)^2-(3i)^2=(6x-3i)(6x+3i)\\\\\text{Used:}\\a^2-b^2=(a-b)(a+b)\\\\i^2=-1 [/tex]

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