What is factor cos^3(x)+sin^3(x) ?

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

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factor cos^3(x)+sin^3(x)

factor

cos^{3} (x) + sin^{3} (x)

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

Solution steps

cos^{3} (x) + sin^{3} (x)

Apply Sum of Cubes Formula:

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

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

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

6 a b^{3} x - 4 b^{3} + 21 a x - 14

12 + 235

[(x - 7 y) + z] [(x - 7 y) - z]

\frac{x ^{3} - 1}{x ^{2} - 1}

m^{9} n^{15} + p^{21}

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