Simplify (6p-6)/p*(2p^2)/(9p-9)

$\frac{6 p - 6}{p} \cdot \frac{2 p^{2}}{9 p - 9}$

Step 1

Factor $6$ out of $6 p - 6$ .

Factor $6$ out of $6 p$ .

$\frac{6 (p) - 6}{p} \cdot \frac{2 p^{2}}{9 p - 9}$

Factor $6$ out of $- 6$ .

$\frac{6 (p) + 6 (- 1)}{p} \cdot \frac{2 p^{2}}{9 p - 9}$

Factor $6$ out of $6 (p) + 6 (- 1)$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{9 p - 9}$

Step 2

Factor $9$ out of $9 p - 9$ .

Factor $9$ out of $9 p$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{9 (p) - 9}$

Factor $9$ out of $- 9$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{9 (p) + 9 (- 1)}$

Factor $9$ out of $9 (p) + 9 (- 1)$ .

$\frac{6 (p - 1)}{p} \cdot \frac{2 p^{2}}{9 (p - 1)}$

Step 3

Combine.

$\frac{6 (p - 1) (2 p^{2})}{p (9 (p - 1))}$

Step 4

Cancel the common factor of $6$ and $9$ .

Factor $3$ out of $6 (p - 1) (2 p^{2})$ .

$\frac{3 (2 (p - 1) (2 p^{2}))}{p (9 (p - 1))}$

Cancel the common factors.

Factor $3$ out of $p (9 (p - 1))$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 5

Cancel the common factor of $p - 1$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 (2 p^{2})}{p \cdot (3)}$

Step 6

Cancel the common factor of $p^{2}$ and $p$ .

Factor $p$ out of $2 (2 p^{2})$ .

$\frac{p (2 (2 p))}{p \cdot (3)}$

Cancel the common factors.

Factor $p$ out of $p \cdot (3)$ .

$\frac{p (2 (2 p))}{p (3)}$

Cancel the common factor.

$\frac{p (2 (2 p))}{p \cdot 3}$

Rewrite the expression.

$\frac{2 (2 p)}{3}$

Step 7

Multiply $2$ by $2$ .

$\frac{4 p}{3}$

Simplify (6p-6)/p*(2p^2)/(9p-9)

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