Basic Math Examples

$\frac{2 p - 2}{p} \cdot \frac{4 p^{2}}{6 p - 6}$

Step 1

Factor $2$ out of $2 p - 2$ .

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Step 1.1

Factor $2$ out of $2 p$ .

$\frac{2 (p) - 2}{p} \cdot \frac{4 p^{2}}{6 p - 6}$

Step 1.2

Factor $2$ out of $- 2$ .

$\frac{2 (p) + 2 (- 1)}{p} \cdot \frac{4 p^{2}}{6 p - 6}$

Step 1.3

Factor $2$ out of $2 (p) + 2 (- 1)$ .

$\frac{2 (p - 1)}{p} \cdot \frac{4 p^{2}}{6 p - 6}$

Step 2

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

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Step 2.1

Factor $6$ out of $6 p$ .

$\frac{2 (p - 1)}{p} \cdot \frac{4 p^{2}}{6 (p) - 6}$

Step 2.2

Factor $6$ out of $- 6$ .

$\frac{2 (p - 1)}{p} \cdot \frac{4 p^{2}}{6 (p) + 6 (- 1)}$

Step 2.3

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

$\frac{2 (p - 1)}{p} \cdot \frac{4 p^{2}}{6 (p - 1)}$

Step 3

Combine.

$\frac{2 (p - 1) (4 p^{2})}{p (6 (p - 1))}$

Step 4

Cancel the common factor of $2$ and $6$ .

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Step 4.1

Factor $2$ out of $2 (p - 1) (4 p^{2})$ .

$\frac{2 ((p - 1) (4 p^{2}))}{p (6 (p - 1))}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $p (6 (p - 1))$ .

$\frac{2 ((p - 1) (4 p^{2}))}{2 (p (3 (p - 1)))}$

Step 4.2.2

Cancel the common factor.

$\frac{2 ((p - 1) (4 p^{2}))}{2 (p (3 (p - 1)))}$

Step 4.2.3

Rewrite the expression.

$\frac{(p - 1) (4 p^{2})}{p (3 (p - 1))}$

Step 5

Cancel the common factor of $p - 1$ .

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Step 5.1

Cancel the common factor.

$\frac{(p - 1) (4 p^{2})}{p (3 (p - 1))}$

Step 5.2

Rewrite the expression.

$\frac{4 p^{2}}{p \cdot (3)}$

Step 6

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

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Step 6.1

Factor $p$ out of $4 p^{2}$ .

$\frac{p (4 p)}{p \cdot (3)}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

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

$\frac{p (4 p)}{p (3)}$

Step 6.2.2

Cancel the common factor.

$\frac{p (4 p)}{p \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{4 p}{3}$