Simplify (3x^3+5x^2)/(6x+10)

$\frac{3 x^{3} + 5 x^{2}}{6 x + 10}$

Step 1

Factor $x^{2}$ out of $3 x^{3} + 5 x^{2}$ .

Factor $x^{2}$ out of $3 x^{3}$ .

$\frac{x^{2} (3 x) + 5 x^{2}}{6 x + 10}$

Factor $x^{2}$ out of $5 x^{2}$ .

$\frac{x^{2} (3 x) + x^{2} \cdot 5}{6 x + 10}$

Factor $x^{2}$ out of $x^{2} (3 x) + x^{2} \cdot 5$ .

$\frac{x^{2} (3 x + 5)}{6 x + 10}$

Step 2

Factor $2$ out of $6 x + 10$ .

Factor $2$ out of $6 x$ .

$\frac{x^{2} (3 x + 5)}{2 (3 x) + 10}$

Factor $2$ out of $10$ .

$\frac{x^{2} (3 x + 5)}{2 (3 x) + 2 (5)}$

Factor $2$ out of $2 (3 x) + 2 (5)$ .

$\frac{x^{2} (3 x + 5)}{2 (3 x + 5)}$

Step 3

Cancel the common factor of $3 x + 5$ .

Cancel the common factor.

$\frac{x^{2} (3 x + 5)}{2 (3 x + 5)}$

Rewrite the expression.

$\frac{x^{2}}{2}$