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