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

The solution to expand (-cos^2(x))/((sin(x)+1)^2) is -(cos^2(x))/(sin^2(x)+2sin(x)+1)

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expand (-cos^2(x))/((sin(x)+1)^2)

expand

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

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

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{cos ^{2} ( x )}{( sin ( x ) + 1 ) ^{2}}

(sin (x) + 1)^{2} = sin^{2} (x) + 2 sin (x) + 1

= - \frac{cos ^{2} ( x )}{sin ^{2} ( x ) + 2 sin ( x ) + 1}

7 (10 + 2)

\frac{5 ( F - 32 )}{9}

9 e^{\frac{2 e - 3}{e}} (y - 3)

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

(4 + \frac{1}{2} x)^{6}

What is expand (-cos^2(x))/((sin(x)+1)^2) ?
The solution to expand (-cos^2(x))/((sin(x)+1)^2) is -(cos^2(x))/(sin^2(x)+2sin(x)+1)