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Exercise

$\frac{12a^3+8a^2+24a+10}{2}$

Step-by-step Solution

1

Factor the polynomial $12a^3+8a^2+24a+10$ by it's greatest common factor (GCF): $2$

$\frac{2\left(6a^{3}+4a^2+12a+5\right)}{2}$
2

Simplify the fraction $\frac{2\left(6a^{3}+4a^2+12a+5\right)}{2}$ by $2$

$6a^{3}+4a^2+12a+5$

Final answer to the exercise

$6a^{3}+4a^2+12a+5$

Try other ways to solve this exercise

  • Choose an option
  • 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: 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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