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

The solution to expand sin^3(x)cos(x)(sin^3(x)+cos(2x)) is sin^6(x)cos(x)+sin^3(x)cos(x)cos(2x)

Popular >

expand sin^3(x)cos(x)(sin^3(x)+cos(2x))

expand

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

sin^{6} (x) cos (x) + sin^{3} (x) cos (x) cos (2 x)

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

sin^{3} (x) cos (x) sin^{3} (x) : sin^{6} (x) cos (x)

= sin^{6} (x) cos (x) + sin^{3} (x) cos (x) cos (2 x)

- \frac{1}{2} s (s + 1) (s + 5) (s + 10)

(1 + sin (a)) (1 - sin (a)) - cos^{2} (a)

(9 cos (t) sin (t) + 9 cos^{2} (t))^{2}

- \frac{( 5 x ^{2} + 3 x + 17 )}{( x - 1 ) ( x ^{2} + 4 )}

\frac{( - 7 s + 27 )}{2 ( s ^{2} - 2 s + 5 )}

What is expand sin^3(x)cos(x)(sin^3(x)+cos(2x)) ?
The solution to expand sin^3(x)cos(x)(sin^3(x)+cos(2x)) is sin^6(x)cos(x)+sin^3(x)cos(x)cos(2x)