Trigonometry
Rewrite the following trigonometric expression by factoring it completely:
sec3x+tan3x\sec^3x+\tan^3xsec3x+tan3x
(secx+tanx)(sec2x−secxtanx+tan2x)\left(\sec x+\tan x\right)\left(\sec^2x-\sec x\tan x+\tan^2x\right)(secx+tanx)(sec2x−secxtanx+tan2x)
(secx−tanx)(sec2x−secxtanx+tan2x)\left(\sec x-\tan x\right)\left(\sec^2x-\sec x\tan x+\tan^2x\right)(secx−tanx)(sec2x−secxtanx+tan2x)
(secx+tanx)(sec2x+secxtanx+tan2x)\left(\sec x+\tan x\right)\left(\sec^2x+\sec x\tan x+\tan^2x\right)(secx+tanx)(sec2x+secxtanx+tan2x)
(secx−tanx)(sec2x+secxtanx+tan2x)\left(\sec x-\tan x\right)\left(\sec^2x+\sec x\tan x+\tan^2x\right)(secx−tanx)(sec2x+secxtanx+tan2x)