What is expand (3-sin(x))^2 ?

The solution to expand (3-sin(x))^2 is 9-6sin(x)+sin^2(x)

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expand (3-sin(x))^2

expand

(3 - sin (x))^{2}

9 - 6 sin (x) + sin^{2} (x)

Solution steps

(3 - sin (x))^{2}

Apply Perfect Square Formula:

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

(3 - sin (x))^{2} = 3^{2} - 2 \cdot 3 sin (x) + sin^{2} (x)

= 3^{2} - 2 \cdot 3 sin (x) + sin^{2} (x)

Simplify

3^{2} - 2 \cdot 3 sin (x) + sin^{2} (x) : 9 - 6 sin (x) + sin^{2} (x)

= 9 - 6 sin (x) + sin^{2} (x)

\frac{- 1 - 1 - 4 ( - π - 4 πn )}{2}

(2 t - e^{4 t})^{2}

(8 x + 7) (- e^{- x})

(- 1 + t)^{2} + (- 4 - 2 t)^{2} + (5 + 2 t)^{2}

\frac{5 ( 1 + 7 )}{3}

What is expand (3-sin(x))^2 ?
The solution to expand (3-sin(x))^2 is 9-6sin(x)+sin^2(x)