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

The solution to expand (cos^2(x)-2sin^2(x))2cos(x) is 2cos^3(x)-4sin^2(x)cos(x)

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

expand

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

2 cos^{3} (x) - 4 sin^{2} (x) cos (x)

Solution steps

(cos^{2} (x) - 2 sin^{2} (x)) \cdot 2 cos (x)

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

2 cos (x) cos^{2} (x) - 2 cos (x) \cdot 2 sin^{2} (x) : 2 cos^{3} (x) - 4 sin^{2} (x) cos (x)

= 2 cos^{3} (x) - 4 sin^{2} (x) cos (x)

cos (π (1 + n))

- 3 x^{2} 2 (5 x^{2})

\frac{d}{d p} ((q) (4 p^{2} + q^{2}))

\frac{\partial}{\partial u} ((x) (u + v))

(- x y sin (x) + 2 y cos (x)) d x + 2 x cos (x) d y

What is expand (cos^2(x)-2sin^2(x))2cos(x) ?
The solution to expand (cos^2(x)-2sin^2(x))2cos(x) is 2cos^3(x)-4sin^2(x)cos(x)