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

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

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

factor

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

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

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

- 4 e^{2} + 7 e^{3} - 9 e^{4}

2 π r^{2} + 2 π r h

e^{2} - 1

sin^{6} (x) + cos^{6} (x)

(x - 5) (x - (3 + 22))

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