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

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

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

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

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

\frac{18 ( s + 6 )}{( s ^{2} + 6 s + 18 ) ( s ^{2} - 6 s + 18 )}

(17 + tan (x)) (17 - tan (x)) + sec^{2} (x)

(3 x + 2) (3 x - 2)

(y e^{y} - 2 x) d y

\frac{( x + 5 ) ( x + 1 )}{2}

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