What is expand (4sin(2000pit)+3)^2 ?

The solution to expand (4sin(2000pit)+3)^2 is 16sin^2(2000pit)+24sin(2000pit)+9

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expand (4sin(2000pit)+3)^2

expand

(4 sin (2000 π t) + 3)^{2}

16 sin^{2} (2000 π t) + 24 sin (2000 π t) + 9

Solution steps

(4 sin (2000 π t) + 3)^{2}

Apply Perfect Square Formula:

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

a = 4 sin (2000 π t), b = 3

= (4 sin (2000 π t))^{2} + 2 \cdot 4 sin (2000 π t) \cdot 3 + 3^{2}

Simplify

(4 sin (2000 π t))^{2} + 2 \cdot 4 sin (2000 π t) \cdot 3 + 3^{2} : 16 sin^{2} (2000 π t) + 24 sin (2000 π t) + 9

= 16 sin^{2} (2000 π t) + 24 sin (2000 π t) + 9

(x^{2} - y^{6}) d x + (x^{2} - 6 x y) d y

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

(x - \frac{11 π}{2}) (tan (\frac{x}{11}))

(1 - x) (1 - e^{- t})

(sin (t) + t cos (t)) \cdot (2 cos (t) - t sin (t))

What is expand (4sin(2000pit)+3)^2 ?
The solution to expand (4sin(2000pit)+3)^2 is 16sin^2(2000pit)+24sin(2000pit)+9