What is factor sec^6(x)-tan^6(x) ?

The solution to factor sec^6(x)-tan^6(x) is (sec^3(x)+tan^3(x))(sec^3(x)-tan^3(x))

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factor sec^6(x)-tan^6(x)

factor

sec^{6} (x) - tan^{6} (x)

(sec^{3} (x) + tan^{3} (x)) (sec^{3} (x) - tan^{3} (x))

Solution steps

sec^{6} (x) - tan^{6} (x)

sec^{6} (x) = (sec^{3} (x))^{2}

tan^{6} (x) = (tan^{3} (x))^{2}

= (sec^{3} (x))^{2} - (tan^{3} (x))^{2}

Apply Difference of Two Squares Formula:

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

(sec^{3} (x))^{2} - (tan^{3} (x))^{2} = (sec^{3} (x) + tan^{3} (x)) (sec^{3} (x) - tan^{3} (x))

= (sec^{3} (x) + tan^{3} (x)) (sec^{3} (x) - tan^{3} (x))

3 x + 2 y (4 + x)

2^{3} \cdot 2^{8}

\frac{( r + 2 x )}{4}

y (y - 5)

16 a^{2} + 12 a

What is factor sec^6(x)-tan^6(x) ?
The solution to factor sec^6(x)-tan^6(x) is (sec^3(x)+tan^3(x))(sec^3(x)-tan^3(x))