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

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

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

factor

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

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

Solution steps

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

Rewrite

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

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

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

Apply Sum of Cubes Formula:

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

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

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

(3 x) - 2

(x + y)^{2} + 4 (x + y) + 4

(x + Δ x)^{3} - x^{3}

2 (x cos (ln (x)))

2^{2 x} - 2^{x + 1} + 1

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