Simplify (5(x-3)(2x+1))/(10(x-3)^2)

$\frac{5 (x - 3) (2 x + 1)}{10 {(x - 3)}^{2}}$

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5 (x - 3) (2 x + 1)$ .

$\frac{5 ((x - 3) (2 x + 1))}{10 {(x - 3)}^{2}}$

Cancel the common factors.

Factor $5$ out of $10 {(x - 3)}^{2}$ .

$\frac{5 ((x - 3) (2 x + 1))}{5 (2 {(x - 3)}^{2})}$

Cancel the common factor.

$\frac{5 ((x - 3) (2 x + 1))}{5 (2 {(x - 3)}^{2})}$

Rewrite the expression.

$\frac{(x - 3) (2 x + 1)}{2 {(x - 3)}^{2}}$

Cancel the common factors.

Factor $x - 3$ out of $2 {(x - 3)}^{2}$ .

$\frac{(x - 3) (2 x + 1)}{(x - 3) (2 (x - 3))}$

Cancel the common factor.

$\frac{(x - 3) (2 x + 1)}{(x - 3) (2 (x - 3))}$

Rewrite the expression.

$\frac{2 x + 1}{2 (x - 3)}$