What is factor cos^3(θ)+sin^3(θ) ?

The solution to factor cos^3(θ)+sin^3(θ) is (cos(θ)+sin(θ))(cos^2(θ)-sin(θ)cos(θ)+sin^2(θ))

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factor cos^3(θ)+sin^3(θ)

factor

cos^{3} (θ) + sin^{3} (θ)

(cos (θ) + sin (θ)) (cos^{2} (θ) - sin (θ) cos (θ) + sin^{2} (θ))

Solution steps

cos^{3} (θ) + sin^{3} (θ)

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

cos^{3} (θ) + sin^{3} (θ) = (cos (θ) + sin (θ)) (cos^{2} (θ) - sin (θ) cos (θ) + sin^{2} (θ))

= (sin (θ) + cos (θ)) (sin^{2} (θ) - sin (θ) cos (θ) + cos^{2} (θ))

15 a^{2} - 21 c a + 30 a e - 42

(2 + h)^{3} - 8

16 x^{6 a} - 49 y^{2 b}

5 x^{2} - 40 x + 3 x + 24

x sec^{2} (π x)

What is factor cos^3(θ)+sin^3(θ) ?
The solution to factor cos^3(θ)+sin^3(θ) is (cos(θ)+sin(θ))(cos^2(θ)-sin(θ)cos(θ)+sin^2(θ))