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

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

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simplify (1+cot(x))(-csc^2(x))

simplify

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

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

Solution steps

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

Apply rule:

a (- b) = - ab

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

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

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

\frac{( 24 a + 5 b ) ^{2}}{225}

(2 y - 2 x y^{3} + 4 x + 6) d x + (2 x - 3 x^{2} y^{2} - 1) d y

\frac{x ^{2} - 2015 x + 2014}{2015 ( x ^{2} + 2014 )}

(3 x^{2} y + e^{y}) d x + (x^{3} + x e^{y} - 2 y) d y

(2 + 23 i)^{5}

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