What is expand (3cos(x)+1)/((cos(x)+3)^2) ?

The solution to expand (3cos(x)+1)/((cos(x)+3)^2) is (3cos(x)+1)/(cos^2(x)+6cos(x)+9)

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expand (3cos(x)+1)/((cos(x)+3)^2)

expand

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

\frac{3 cos ( x ) + 1}{cos ^{2} ( x ) + 6 cos ( x ) + 9}

Solution steps

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

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

= \frac{3 cos ( x ) + 1}{cos ^{2} ( x ) + 6 cos ( x ) + 9}

\frac{5 ( x - 2 )}{2}

\frac{18 x ^{3}}{( x - 0.5 ) ( x - 0.8 ) ^{2}}

63

cos (a) (sec (a) - cos (a) = sin^{2} (a))

60

What is expand (3cos(x)+1)/((cos(x)+3)^2) ?
The solution to expand (3cos(x)+1)/((cos(x)+3)^2) is (3cos(x)+1)/(cos^2(x)+6cos(x)+9)