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 Sum 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))

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

(x - 3) + x^{2}

2^{5} \cdot 6^{- 5}

\frac{x + 6}{x ^{2} - 36}

d (e^{2 x})

x^{15} y^{12} z^{6} - 343

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))