Basic Math Examples

$\frac{2 p - 2}{p} \cdot \frac{7 p^{2}}{4 p - 4}$

Step 1

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

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Step 1.1

Factor $2$ out of $2 p$ .

$\frac{2 (p) - 2}{p} \cdot \frac{7 p^{2}}{4 p - 4}$

Step 1.2

Factor $2$ out of $- 2$ .

$\frac{2 (p) + 2 (- 1)}{p} \cdot \frac{7 p^{2}}{4 p - 4}$

Step 1.3

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

$\frac{2 (p - 1)}{p} \cdot \frac{7 p^{2}}{4 p - 4}$

Step 2

Factor $4$ out of $4 p - 4$ .

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Step 2.1

Factor $4$ out of $4 p$ .

$\frac{2 (p - 1)}{p} \cdot \frac{7 p^{2}}{4 (p) - 4}$

Step 2.2

Factor $4$ out of $- 4$ .

$\frac{2 (p - 1)}{p} \cdot \frac{7 p^{2}}{4 (p) + 4 (- 1)}$

Step 2.3

Factor $4$ out of $4 (p) + 4 (- 1)$ .

$\frac{2 (p - 1)}{p} \cdot \frac{7 p^{2}}{4 (p - 1)}$

Step 3

Combine.

$\frac{2 (p - 1) (7 p^{2})}{p (4 (p - 1))}$

Step 4

Cancel the common factor of $2$ and $4$ .

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Step 4.1

Factor $2$ out of $2 (p - 1) (7 p^{2})$ .

$\frac{2 ((p - 1) (7 p^{2}))}{p (4 (p - 1))}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{2 ((p - 1) (7 p^{2}))}{2 (p (2 (p - 1)))}$

Step 4.2.2

Cancel the common factor.

$\frac{2 ((p - 1) (7 p^{2}))}{2 (p (2 (p - 1)))}$

Step 4.2.3

Rewrite the expression.

$\frac{(p - 1) (7 p^{2})}{p (2 (p - 1))}$

Step 5

Cancel the common factor of $p - 1$ .

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Step 5.1

Cancel the common factor.

$\frac{(p - 1) (7 p^{2})}{p (2 (p - 1))}$

Step 5.2

Rewrite the expression.

$\frac{7 p^{2}}{p \cdot (2)}$

Step 6

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

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Step 6.1

Factor $p$ out of $7 p^{2}$ .

$\frac{p (7 p)}{p \cdot (2)}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $p$ out of $p \cdot (2)$ .

$\frac{p (7 p)}{p (2)}$

Step 6.2.2

Cancel the common factor.

$\frac{p (7 p)}{p \cdot 2}$

Step 6.2.3

Rewrite the expression.

$\frac{7 p}{2}$