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{2 x + 3}{( x - 1 ) ( x ^{2} + 4 )}

\frac{1}{( x - 1 ) ( x + 1 )}

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

(3 + 3 i)^{7}

(3 + x)^{2}

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