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Exercise

$\left(\left(cos\left(x\right)\right)^4\right)\cdot\left(\left(-2\cdot\left(cot\left(2\cdot x\right)\right)^2\right)\cdot csc\left(2\cdot x\right)-2\cdot\left(\left(\left(csc\left(2\cdot x\right)\right)^3\right)\right)\right)$

Step-by-step Solution

1

Multiply the single term $\cos\left(x\right)^4$ by each term of the polynomial $\left(-2\cot\left(2x\right)^2\csc\left(2x\right)-2\csc\left(2x\right)^3\right)$

$-2\cot\left(2x\right)^2\csc\left(2x\right)\cos\left(x\right)^4-2\csc\left(2x\right)^3\cos\left(x\right)^4$

Final answer to the exercise

$-2\cot\left(2x\right)^2\csc\left(2x\right)\cos\left(x\right)^4-2\csc\left(2x\right)^3\cos\left(x\right)^4$

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