упростите : sin^6(x)+sin^4(x)*cos^2(x)+sin^2(x)*cos^2(x)

Question

упростите : sin^6(x)+sin^4(x)*cos^2(x)+sin^2(x)*cos^2(x)

Answer 1

sin^6(x)+(sin^4(x)*(1-sin^2(x))+(sin^2(x)*(1-sin^2(x))=

= sin^6(x)+sin^4(x)-sin^6(x)+sin^2(x)-sin^4(x)=

=sin^2(x)