Precalculus Examples

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

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Move $- 1$ to the left of $\cot^{2} (x) x$ .

$\cot^{2} (x) x \csc (x) - 1 \cdot (\cot^{2} (x) x)$

Step 2

Rewrite $- 1 (\cot^{2} (x) x)$ as $- (\cot^{2} (x) x)$ .

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

Step 3

Reorder factors in $\cot^{2} (x) x \csc (x) - \cot^{2} (x) x$ .

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