What is expand sin(x)(cos(4x)+4cos^2(x)cos(2x)) ?

The solution to expand sin(x)(cos(4x)+4cos^2(x)cos(2x)) is cos(4x)sin(x)+4cos^2(x)cos(2x)sin(x)

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expand sin(x)(cos(4x)+4cos^2(x)cos(2x))

expand

sin (x) (cos (4 x) + 4 cos^{2} (x) cos (2 x))

cos (4 x) sin (x) + 4 cos^{2} (x) cos (2 x) sin (x)

Solution steps

sin (x) (cos (4 x) + 4 cos^{2} (x) cos (2 x))

Apply the distributive law:

a (b + c) = ab + a c

sin (x) (cos (4 x) + 4 cos^{2} (x) cos (2 x)) = sin (x) cos (4 x) + sin (x) \cdot 4 cos^{2} (x) cos (2 x)

= sin (x) cos (4 x) + sin (x) \cdot 4 cos^{2} (x) cos (2 x)

= cos (4 x) sin (x) + 4 cos^{2} (x) cos (2 x) sin (x)

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

(e^{- 2 t} - 1)^{2}

(1 + 4 i)^{4}

\frac{1}{( x + i y ) ^{2}}

e^{2 t} u (- t + 2)

What is expand sin(x)(cos(4x)+4cos^2(x)cos(2x)) ?
The solution to expand sin(x)(cos(4x)+4cos^2(x)cos(2x)) is cos(4x)sin(x)+4cos^2(x)cos(2x)sin(x)