Simplify (6y^10-3y^6+4y^3+8y)/(3y^3)

$\frac{6 y^{10} - 3 y^{6} + 4 y^{3} + 8 y}{3 y^{3}}$

Step 1

Factor $y$ out of $6 y^{10} - 3 y^{6} + 4 y^{3} + 8 y$ .

Factor $y$ out of $6 y^{10}$ .

$\frac{y (6 y^{9}) - 3 y^{6} + 4 y^{3} + 8 y}{3 y^{3}}$

Factor $y$ out of $- 3 y^{6}$ .

$\frac{y (6 y^{9}) + y (- 3 y^{5}) + 4 y^{3} + 8 y}{3 y^{3}}$

Factor $y$ out of $4 y^{3}$ .

$\frac{y (6 y^{9}) + y (- 3 y^{5}) + y (4 y^{2}) + 8 y}{3 y^{3}}$

Factor $y$ out of $8 y$ .

$\frac{y (6 y^{9}) + y (- 3 y^{5}) + y (4 y^{2}) + y \cdot 8}{3 y^{3}}$

Factor $y$ out of $y (6 y^{9}) + y (- 3 y^{5})$ .

$\frac{y (6 y^{9} - 3 y^{5}) + y (4 y^{2}) + y \cdot 8}{3 y^{3}}$

Factor $y$ out of $y (6 y^{9} - 3 y^{5}) + y (4 y^{2})$ .

$\frac{y (6 y^{9} - 3 y^{5} + 4 y^{2}) + y \cdot 8}{3 y^{3}}$

Factor $y$ out of $y (6 y^{9} - 3 y^{5} + 4 y^{2}) + y \cdot 8$ .

$\frac{y (6 y^{9} - 3 y^{5} + 4 y^{2} + 8)}{3 y^{3}}$

Step 2

Cancel the common factors.

Factor $y$ out of $3 y^{3}$ .

$\frac{y (6 y^{9} - 3 y^{5} + 4 y^{2} + 8)}{y (3 y^{2})}$

Cancel the common factor.

$\frac{y (6 y^{9} - 3 y^{5} + 4 y^{2} + 8)}{y (3 y^{2})}$

Rewrite the expression.

$\frac{6 y^{9} - 3 y^{5} + 4 y^{2} + 8}{3 y^{2}}$