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 \cdot 4 t sin (t) + sin^{2} (t)

= (4 t)^{2} + 2 \cdot 4 t sin (t) + sin^{2} (t)

Simplify

(4 t)^{2} + 2 \cdot 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)

\frac{d ^{2}}{d x ^{2}} ((y) (x y + y^{2}))

\frac{2 e ^{- s}}{( s ^{2} + 1 ) s}

2 (\frac{- u - 3}{16} + \frac{1}{4})

(\frac{x + 8}{2})^{2}

(x + 1) \cdot (1 - 3 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)