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Exercise

$\sqrt{3}e^{2x}\cdot\:\:sin\left(x\right)+e^{2x}\cdot\:\:cos\left(x\right)$

Step-by-step Solution

1

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

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

Final answer to the exercise

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

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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