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

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

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expand-2(cos^2(4a)-sin^2(x))sin(a)

expand

- 2 (cos^{2} (4 a) - sin^{2} (x)) sin (a)

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

Solution steps

- 2 (cos^{2} (4 a) - sin^{2} (x)) sin (a)

= - 2 sin (a) (cos^{2} (4 a) - sin^{2} (x))

Apply the distributive law:

a (b - c) = ab - a c

- 2 sin (a) (cos^{2} (4 a) - sin^{2} (x)) = - 2 sin (a) cos^{2} (4 a) - (- 2 sin (a)) sin^{2} (x)

= - 2 sin (a) cos^{2} (4 a) - (- 2 sin (a)) sin^{2} (x)

Simplify

- 2 sin (a) cos^{2} (4 a) - (- 2 sin (a)) sin^{2} (x) : - 2 cos^{2} (4 a) sin (a) + 2 sin^{2} (x) sin (a)

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

\frac{1 - cos ^{2} ( x )}{cos ( x )}

(4 - x^{2})^{2} d x

\frac{s - 2}{s ^{2} ( ( s - 1 ) ( s + 2 ) )}

(x^{3} - 3 y^{3}) d y - x^{2} y d x

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