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

The solution to factor sin^6(a)-cos^6(a) is (sin^3(a)+cos^3(a))(sin^3(a)-cos^3(a))

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

factor

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

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

Solution steps

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

sin^{6} (a) = (sin^{3} (a))^{2}

cos^{6} (a) = (cos^{3} (a))^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{( 2 ^{8} \cdot a ^{5} \cdot b ^{3} )}{( 4 ^{2} \cdot a ^{2} \cdot b )}

(5 x - 2 y + 7 z) + (8 x + 12 y - 25 z)

5 a^{4} + 18 a^{2} + 9

(6 x^{3} + 10 x^{12}) 12

(9 x^{2} + 8 x - 10)^{3}

What is factor sin^6(a)-cos^6(a) ?
The solution to factor sin^6(a)-cos^6(a) is (sin^3(a)+cos^3(a))(sin^3(a)-cos^3(a))