Prove: `(cos^(3)theta+sin^(3)theta)/(cos theta+sin theta)+(cos^(3)theta-sin^(3)theta)/(cos theta-sin theta)=2`

Prove that (cos^3theta+sin^3 theta)/(cos theta+sin theta)+(cos^3 theta-sin^3 theta)/(cos theta-sin theta)=2

Prove each of the following identities : (cos^(3) theta + sin^(3) theta)/(cos theta + sin theta ) + (cos^(3) theta - sin^(3) theta)/(cos theta - sin theta ) = 2

((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))=?

(cos theta + sin theta )/( cos theta - sin theta )-(cos theta - sin theta )/( cos theta + sin theta ) =

sin^(3)theta + sin theta - sin theta cos^(2)theta =

Prove that (cos^3 theta-sin^3 theta)/(cos theta-sin theta) = 1+cos theta sin theta

(sin ^ (3) theta + sin3 theta) / (sin theta) + (cos ^ (3) theta-cos3 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 theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 theta