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Exercise

$\frac{18x^7-56x}{4x}$

Step-by-step Solution

1

Factor the polynomial $18x^7-56x$ by it's greatest common factor (GCF): $2x$

$\frac{2x\left(9x^{6}-28\right)}{4x}$
2

Simplify the fraction $\frac{2x\left(9x^{6}-28\right)}{4x}$ by $x$

$\frac{2\left(9x^{6}-28\right)}{4}$
3

Take $\frac{2}{4}$ out of the fraction

$\frac{1}{2}\left(9x^{6}-28\right)$

Final answer to the exercise

$\frac{1}{2}\left(9x^{6}-28\right)$

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
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  • 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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