miabarrett1964 miabarrett1964

24-10-2018
Mathematics

contestada

Factor the expression over the complex numbers.

y^2+49

Respuesta :

28-10-2018

[tex]\text{Use}\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\---------------------\\\\y^2+49=y^2+7^2=y^2-(-1)(7^2)=y^2-(i^2)(7^2)=y^2-(7i)^2\\\\\boxed{y^2+49=(y-7i)(y+7i)}[/tex]

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