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Exercise

$\frac{9y^4+3y^3+6y^3}{3y}$

Step-by-step Solution

1

Combining like terms $3y^3$ and $6y^3$

$\frac{9y^4+9y^3}{3y}$
2

Factor the polynomial $9y^4+9y^3$ by it's greatest common factor (GCF): $9y^{3}$

$\frac{9y^{3}\left(y+1\right)}{3y}$
3

Simplify the fraction $\frac{9y^{3}\left(y+1\right)}{3y}$ by $y$

$\frac{9y^{2}\left(y+1\right)}{3}$
4

Take $\frac{9}{3}$ out of the fraction

$3y^{2}\left(y+1\right)$

Final answer to the exercise

$3y^{2}\left(y+1\right)$

Try other ways to solve this exercise

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  • 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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$\left(x^3\right)\div\left(x^2-1\right)$

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$6x^3y^2\div2y$

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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