What is expand-(csc^2(x))/((1+cot(x))^2) ?

The solution to expand-(csc^2(x))/((1+cot(x))^2) is -(csc^2(x))/(1+2cot(x)+cot^2(x))

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expand-(csc^2(x))/((1+cot(x))^2)

expand

- \frac{csc ^{2} ( x )}{( 1 + cot ( x ) ) ^{2}}

- \frac{csc ^{2} ( x )}{1 + 2 cot ( x ) + cot ^{2} ( x )}

Solution steps

- \frac{csc ^{2} ( x )}{( 1 + cot ( x ) ) ^{2}}

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

= - \frac{csc ^{2} ( x )}{cot ^{2} ( x ) + 2 cot ( x ) + 1}

3 x l e f t (x^{2} - 2 x + 3)

2 (5 - 2)

(5 x - 3 y) (5 x + 3 y)

r x (1 - \frac{x}{k})

A (1, 2, - 1) B (0, 1, - 4) C (3, - 1, 0)

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