What is factor cos^6(x)+sin^6(x) ?

The solution to factor cos^6(x)+sin^6(x) is (cos^2(x)+sin^2(x))(cos^4(x)-sin^2(x)cos^2(x)+sin^4(x))

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factor cos^6(x)+sin^6(x)

factor

cos^{6} (x) + sin^{6} (x)

(cos^{2} (x) + sin^{2} (x)) (cos^{4} (x) - sin^{2} (x) cos^{2} (x) + sin^{4} (x))

Solution steps

cos^{6} (x) + sin^{6} (x)

Rewrite

cos^{6} (x) + sin^{6} (x)

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

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

Apply Sum of Cubes Formula:

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

(cos^{2} (x))^{3} + (sin^{2} (x))^{3} = (cos^{2} (x) + sin^{2} (x)) (cos^{4} (x) - sin^{2} (x) cos^{2} (x) + sin^{4} (x))

= (sin^{2} (x) + cos^{2} (x)) (sin^{4} (x) - sin^{2} (x) cos^{2} (x) + cos^{4} (x))

a c + b c + a d + b d

2 j^{17} + 32 j^{482}

[(x - 3 y) + z] [(x - 3 y) - z]

16 r^{2} - π r^{2}

2 b^{3} + 3 c^{3} - 2 b^{3} x - 3 c^{3} x

What is factor cos^6(x)+sin^6(x) ?
The solution to factor cos^6(x)+sin^6(x) is (cos^2(x)+sin^2(x))(cos^4(x)-sin^2(x)cos^2(x)+sin^4(x))