What is expand (-tsin(t)+cos(t))^2 ?

The solution to expand (-tsin(t)+cos(t))^2 is t^2sin^2(t)-tsin(2t)+cos^2(t)

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expand (-tsin(t)+cos(t))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(- t sin (t))^{2} + 2 (- t sin (t)) cos (t) + cos^{2} (t) : t^{2} sin^{2} (t) - t sin (2 t) + cos^{2} (t)

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

(5 x^{2} - 10)^{3} x d x

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

\frac{( x ^{9} + 5 x ^{5} - x ^{3} + 2021 )}{x ^{3} ( x ^{4} - 16 )}

5 (2 + 4)

8 x^{2} - (8 x + 1) ln (x)

What is expand (-tsin(t)+cos(t))^2 ?
The solution to expand (-tsin(t)+cos(t))^2 is t^2sin^2(t)-tsin(2t)+cos^2(t)