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

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

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

simplify

(2 + 3 sin (x)) (2 - 3 sin (x))

4 - 3 sin^{2} (x)

Solution steps

(2 + 3 sin (x)) (2 - 3 sin (x))

Apply Difference of Two Squares

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

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

2 (e^{x} cos (x) - e^{x} sin (x))

\frac{( x - 1 ) ( x ^{3} - x ^{2} - 4 x - 4 )}{x - 3}

\frac{2 ( - 8 x y ^{4} + 6 y ^{3} )}{( 1 - 2 x y ) ^{3}}

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

(- x + 5 + 4)^{2}

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