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

The solution to expand-csc^2(x)cot(x)(csc^2(x)-cot(x)) is -csc^4(x)cot(x)+csc^2(x)cot^2(x)

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expand-csc^2(x)cot(x)(csc^2(x)-cot(x))

expand

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

- csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

- csc^{2} (x) cot (x) csc^{2} (x) - (- csc^{2} (x) cot (x)) cot (x) : - csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

= - csc^{4} (x) cot (x) + csc^{2} (x) cot^{2} (x)

18 π (1 + \frac{π}{4})

(x^{2} - \frac{3 y}{4} + \frac{9}{7}) (\frac{x}{2} + \frac{3 y}{5} - 2)

h (4 x + h + 4 x)

(1 + x - 5)^{2}

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

What is expand-csc^2(x)cot(x)(csc^2(x)-cot(x)) ?
The solution to expand-csc^2(x)cot(x)(csc^2(x)-cot(x)) is -csc^4(x)cot(x)+csc^2(x)cot^2(x)