Solve `(sin^(3)theta+cos^(3)theta)=(sin theta+cos theta)`

Prove the following identities: (sin^(3)theta+cos^(3)theta)/(sin theta+cos theta)+sin theta cos theta=1

((sin^(3)theta+cos^(3)theta)/(sin theta+cos theta)+(cos^(3)theta+sin^(3)theta)/(cos theta+sin theta))=?

((sin^(3)theta+cos^(3)theta)/(sin theta+cos theta)+(cos^(3)theta+sin^(3)theta)/(cos theta+sin theta))=?

3. sin^(3)theta+cos^(3)theta=(sin theta+cos theta)(1-sin theta cos theta)

The value of (sin^3 theta + cos^3 theta)/(sin theta+ costheta)+((cos^3 theta - sin^3 theta))/(cos theta - sin theta) is

(sin^(3)theta+cos^(3)theta)/(sintheta+costheta)+(sin^(3)theta-cos^(3)theta)/(sintheta-costheta)=

Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=1 .

If tan theta=4 then ((tan theta)/((sin^(3)theta)/(cos theta)+sin theta cos theta)) is equal to

1-(sin^(3)theta)/(sin theta+cos theta)-(cos^(3)theta)/(sin theta+cos theta) is equal to

Solve sin^(3)theta cos theta-cos^(3)theta sin theta=(1)/(4)