What is expand (-4t+sin(t))^2 ?

The solution to expand (-4t+sin(t))^2 is 16t^2-8tsin(t)+sin^2(t)

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expand (-4t+sin(t))^2

expand

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

16 t^{2} - 8 t sin (t) + sin^{2} (t)

Solution steps

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

Apply Perfect Square Formula:

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

(- 4 t + sin (t))^{2} = (- 4 t)^{2} + 2 (- 4 t) sin (t) + sin^{2} (t)

= (- 4 t)^{2} + 2 (- 4 t) sin (t) + sin^{2} (t)

Simplify

(- 4 t)^{2} + 2 (- 4 t) sin (t) + sin^{2} (t) : 16 t^{2} - 8 t sin (t) + sin^{2} (t)

= 16 t^{2} - 8 t sin (t) + sin^{2} (t)

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

\frac{1}{2} + \frac{3}{32} (4 (0.5) - \frac{0. 5 ^{3}}{3})

\frac{1}{2} (1 + cos (4 x))

(1 - t)^{3}

\frac{4 + 3 x}{( x - 1 ) ( x + 2 )}

What is expand (-4t+sin(t))^2 ?
The solution to expand (-4t+sin(t))^2 is 16t^2-8tsin(t)+sin^2(t)