What is expand (3+sin(2x))/((3+tan(x))^2) ?

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

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expand (3+sin(2x))/((3+tan(x))^2)

expand

\frac{3 + sin ( 2 x )}{( 3 + tan ( x ) ) ^{2}}

\frac{3 + sin ( 2 x )}{9 + 6 tan ( x ) + tan ^{2} ( x )}

Solution steps

\frac{3 + sin ( 2 x )}{( 3 + tan ( x ) ) ^{2}}

(3 + tan (x))^{2} = 9 + 6 tan (x) + tan^{2} (x)

= \frac{3 + sin ( 2 x )}{9 + 6 tan ( x ) + tan ^{2} ( x )}

\frac{4}{π} (cos (3 t) - sin (5 t))

(- sec (t) tan (t) + sin (t))^{2}

t y^{''} (t) + (3 t - 1) y^{'} (t) - (4 t + 9) y

32 (t - cos (t))

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