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

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

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

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{( 4 x ^{12} + 2 x ^{6} )}{( 4 x ^{9} )}

\frac{( 2 x ^{- 4} - 6 x ^{5} + 4 x ^{2} )}{( 2 x ^{2} )}

\frac{( x ^{4} - x ^{2} )}{( x ^{2} - 1 )}

12 x^{2} y + 4 x^{2}

6.91 x 1 0^{2} + (- 7.2) x 1 0^{2}

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