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

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

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

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Sum of Cubes Formula:

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

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

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

(x - 5) (x - (3 + 22))

(tan (x))^{2}

[x]

[(x + 1) - y]^{2}

[(x - 3) + y]^{2}

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