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

The solution to (sqrt(3)-2sin(x))^2 is 3-4sqrt(3)sin(x)+4sin^2(x)

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simplify (sqrt(3)-2sin(x))^2

simplify

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

3 - 43 sin (x) + 4 sin^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

(3 - 2 sin (x))^{2} = (3)^{2} - 23 \cdot 2 sin (x) + (2 sin (x))^{2}

= (3)^{2} - 23 \cdot 2 sin (x) + (2 sin (x))^{2}

(3)^{2} = 3

- 23 \cdot 2 sin (x) = - 43 sin (x)

(2 sin (x))^{2} = 4 sin^{2} (x)

= 3 - 43 sin (x) + 4 sin^{2} (x)

\frac{s}{( s ^{2} + t ^{2} ) ( 1 + t ^{2} )}

\frac{x ^{2} ( x - 3 )}{x + 6}

- \frac{12800}{( x + 3 ) ^{2}}

\frac{n ^{2} + n - 1}{( n + 1 ) ^{2}}

\frac{1}{( 3 x ^{2} + 5 x ) ^{3}}

What is (sqrt(3)-2sin(x))^2 ?
The solution to (sqrt(3)-2sin(x))^2 is 3-4sqrt(3)sin(x)+4sin^2(x)