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 Difference 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))

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

c + (5 + 3 a)

a x - b x + c x + a y - b y + cy

2 b y^{2} - b x y + 6 x y - 3 x^{2}

2^{- 3}

[x^{2} + x y sin (y x)] y^{'} (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))