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Exercise

$-\frac{3}{13}cos\left(3x\right)e^{2x}+\frac{2}{13}sin\left(3x\right)e^{2x}$

Step-by-step Solution

1

Factor the polynomial $-\frac{3}{13}e^{2x}\cos\left(3x\right)+\frac{2}{13}e^{2x}\sin\left(3x\right)$ by it's greatest common factor (GCF): $e^{2x}$

$e^{2x}\left(-\frac{3}{13}\cos\left(3x\right)+\frac{2}{13}\sin\left(3x\right)\right)$

Final answer to the exercise

$e^{2x}\left(-\frac{3}{13}\cos\left(3x\right)+\frac{2}{13}\sin\left(3x\right)\right)$

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