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

The solution to expand (-3acos^2(t)+sin(t))^2 is 9a^2cos^4(t)-6acos^2(t)sin(t)+sin^2(t)

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

expand

(- 3 a cos^{2} (t) + sin (t))^{2}

9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

Solution steps

(- 3 a cos^{2} (t) + sin (t))^{2}

Apply Perfect Square Formula:

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

(- 3 a cos^{2} (t) + sin (t))^{2} = (- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t)

= (- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t)

Simplify

(- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t) : 9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

= 9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

(a + 4 b) (a - 2 b)

(y cos (x) + 2 x e^{y}) + (5 m x + x^{2} e^{y} - 1) y^{'} (x)

\frac{1}{( x ^{2} - 2 x + 3 ) ^{2}}

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

\frac{x ^{2} - 7 x - 5}{x ( x + 1 ) ^{2}}

What is expand (-3acos^2(t)+sin(t))^2 ?
The solution to expand (-3acos^2(t)+sin(t))^2 is 9a^2cos^4(t)-6acos^2(t)sin(t)+sin^2(t)