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Exercise

$\frac{\cos\left(4x\right)}{4x+1}$

Step-by-step Solution

1

Apply the trigonometric identity: $\cos\left(4\theta \right)$$=2\cos\left(2\theta \right)^2-1$

$\frac{2\cos\left(2x\right)^2-1}{4x+1}$

Final answer to the exercise

$\frac{2\cos\left(2x\right)^2-1}{4x+1}$

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
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  • Factor by completing the square
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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