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

The solution to expand-2(-C(sin(x))-D(cos(x)))^2 is -2D^2cos^2(x)-2C^2sin^2(x)-2CDsin(2x)

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

expand

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

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

Solution steps

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

Simplify

- C (sin (x)) - D (cos (x)) : - C sin (x) - D cos (x)

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

Expand

(- C sin (x) - D cos (x))^{2} : D^{2} cos^{2} (x) + C^{2} sin^{2} (x) + C D sin (2 x)

= - 2 (D^{2} cos^{2} (x) + C^{2} sin^{2} (x) + C D sin (2 x))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- 2 (D^{2} cos^{2} (x) + C^{2} sin^{2} (x) + C D sin (2 x)) = - 2 D^{2} cos^{2} (x) - 2 C^{2} sin^{2} (x) - 2 C D sin (2 x)

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

\frac{( 8 - x ) ^{2}}{4}

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

(1 - x^{2}) (L ((1 - x^{2})^{\frac{m ^{2}}{2}} - m^{2} x^{2} (1 - x^{2})^{\frac{m ^{2}}{2} - 1}))

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

\frac{x + 2}{x ( x - 6 )}

What is expand-2(-C(sin(x))-D(cos(x)))^2 ?
The solution to expand-2(-C(sin(x))-D(cos(x)))^2 is -2D^2cos^2(x)-2C^2sin^2(x)-2CDsin(2x)