What is expand (-sin(2t)-3sin(t))^2 ?

The solution to expand (-sin(2t)-3sin(t))^2 is sin^2(2t)+6sin(2t)sin(t)+9sin^2(t)

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expand (-sin(2t)-3sin(t))^2

expand

(- sin (2 t) - 3 sin (t))^{2}

sin^{2} (2 t) + 6 sin (2 t) sin (t) + 9 sin^{2} (t)

Solution steps

(- sin (2 t) - 3 sin (t))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(- sin (2 t) - 3 sin (t))^{2} = (- sin (2 t))^{2} - 2 (- sin (2 t)) \cdot 3 sin (t) + (3 sin (t))^{2}

= (- sin (2 t))^{2} - 2 (- sin (2 t)) \cdot 3 sin (t) + (3 sin (t))^{2}

Simplify

(- sin (2 t))^{2} - 2 (- sin (2 t)) \cdot 3 sin (t) + (3 sin (t))^{2} : sin^{2} (2 t) + 6 sin (2 t) sin (t) + 9 sin^{2} (t)

= sin^{2} (2 t) + 6 sin (2 t) sin (t) + 9 sin^{2} (t)

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

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

\frac{( 6 x + 5 ) ( 3 y ^{\frac{2}{3}} )}{1 + 3 y ^{\frac{2}{3}}}

(1 + cos (x)) cos (x)

\frac{z}{( z - 2 ) ( z - 3 ) ( z - 4 )}

What is expand (-sin(2t)-3sin(t))^2 ?
The solution to expand (-sin(2t)-3sin(t))^2 is sin^2(2t)+6sin(2t)sin(t)+9sin^2(t)