What is factor cos^3(x)-sin^3(x) ?

The solution to factor cos^3(x)-sin^3(x) is (cos(x)-sin(x))(cos^2(x)+sin(x)cos(x)+sin^2(x))

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factor cos^3(x)-sin^3(x)

factor

cos^{3} (x) - sin^{3} (x)

(cos (x) - sin (x)) (cos^{2} (x) + sin (x) cos (x) + sin^{2} (x))

Solution steps

cos^{3} (x) - sin^{3} (x)

Apply Difference of Cubes Formula:

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

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

= (cos (x) - sin (x)) (sin^{2} (x) + sin (x) cos (x) + cos^{2} (x))

- n^{8 x + 2 y} + m^{6 x - 4 y}

2 x^{2} + 2 x c - 3 b x - 3 b c

(x)^{4}

- (5)

3 (a + b) - 5 (a + b)

What is factor cos^3(x)-sin^3(x) ?
The solution to factor cos^3(x)-sin^3(x) is (cos(x)-sin(x))(cos^2(x)+sin(x)cos(x)+sin^2(x))