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Exercise

$\frac{\left(48x^3z^2-30x^6z^2+24x^5z^3\right)}{\left(6x^2z+5\right)}$

Step-by-step Solution

1

Factor the polynomial $48x^3z^2-30x^6z^2+24x^5z^3$ by it's greatest common factor (GCF): $6x^{3}z^2$

$\frac{6x^{3}z^2\left(8-5x^{3}+4x^2z\right)}{6x^2z+5}$

Final answer to the exercise

$\frac{6x^{3}z^2\left(8-5x^{3}+4x^2z\right)}{6x^2z+5}$

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
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  • 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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