Simplify (p-1)/(63p(p-1))*(21(p+3)(p-1))/(3(p+3))

$\frac{p - 1}{63 p (p - 1)} \cdot \frac{21 (p + 3) (p - 1)}{3 (p + 3)}$

Cancel the common factor of $21 (p - 1)$ .

Factor $21 (p - 1)$ out of $63 p (p - 1)$ .

$\frac{p - 1}{21 (p - 1) (3 p)} \cdot \frac{21 (p + 3) (p - 1)}{3 (p + 3)}$

Factor $21 (p - 1)$ out of $21 (p + 3) (p - 1)$ .

$\frac{p - 1}{21 (p - 1) (3 p)} \cdot \frac{21 (p - 1) (p + 3)}{3 (p + 3)}$

Cancel the common factor.

$\frac{p - 1}{21 (p - 1) (3 p)} \cdot \frac{21 (p - 1) (p + 3)}{3 (p + 3)}$

Rewrite the expression.

$\frac{p - 1}{3 p} \cdot \frac{p + 3}{3 (p + 3)}$

Multiply $\frac{p - 1}{3 p}$ by $\frac{p + 3}{3 (p + 3)}$ .

$\frac{(p - 1) (p + 3)}{3 p (3 (p + 3))}$

Multiply $3$ by $3$ .

$\frac{(p - 1) (p + 3)}{9 p (p + 3)}$

Cancel the common factor of $p + 3$ .

Cancel the common factor.

$\frac{(p - 1) (p + 3)}{9 p (p + 3)}$

Rewrite the expression.

$\frac{p - 1}{9 p}$