Question

упростите

sin^4x + sin^2x cos^2x + cos^2x

Answer 1

$sin^4x + sin^2x cos^2x + cos^2x =(sin^4x + sin^2x cos^2x) + cos^2x= \ \ =sin^2x (sin^2x + cos^2x) + cos^2x= sin^2x cdot 1 + cos^2x= \ \ =sin^2x + cos^2x=1$