What is factor cos^6(θ)-sin^6(θ) ?

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

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factor cos^6(θ)-sin^6(θ)

factor

cos^{6} (θ) - sin^{6} (θ)

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

Solution steps

cos^{6} (θ) - sin^{6} (θ)

cos^{6} (θ) = (cos^{3} (θ))^{2}

sin^{6} (θ) = (sin^{3} (θ))^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

4 h + 3 + 7 + 6 h

36 - 121 x^{2}

- 9 \cdot (- 9)

9 \div 4 \frac{2}{7}

(3 x - 4) (2 x^{2} - 5 x - 5)

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