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

The solution to expand (3-3sin(x))^2 is 9-18sin(x)+9sin^2(x)

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expand (3-3sin(x))^2

expand

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

9 - 18 sin (x) + 9 sin^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} - 2 \cdot 3 \cdot 3 sin (x) + (3 sin (x))^{2} : 9 - 18 sin (x) + 9 sin^{2} (x)

= 9 - 18 sin (x) + 9 sin^{2} (x)

\frac{- s ^{2} + 2}{( s ^{2} + 4 ) ( 2 s + 6 )}

9 (sin^{4} (+ cos^{4} (u))) - 6 (sin^{6} (u) + cos^{6} (u))

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

- \frac{s + 3}{( s - 3 ) ( s + 2 ) ( s + 6 )}

What is expand (3-3sin(x))^2 ?
The solution to expand (3-3sin(x))^2 is 9-18sin(x)+9sin^2(x)