\(\sin^6 α+\cos^6 α+3\sin^2 α \cos^2 α\)-এর মান নির্ণয় করি।

\(sin^6⁡α+cos^6⁡α+3 sin^2⁡α cos^2⁡α\)
\(=(sin^2⁡α )^3+(cos^2⁡α )^3+3 sin^2⁡α cos^2⁡α×1\)
\(=(sin^2⁡α )^3+(cos^2⁡α )^3+3 sin^2⁡α cos^2⁡α ×(sin^2⁡α+cos^2⁡α )\)
\(=(sin^2⁡α+cos^2⁡α )^3\)
\(=(1)^3\)
\(=1\) (Answer)