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

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

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

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

f (x) e^{- x^{3} + x}

12 - (12 \cdot (21213 2^{2}))

2 (x^{2} y)

2^{4}

x^{4 - 2 x^{3}}

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