Algebra Examples

$\frac{7 p - 7 p}{p} \cdot \frac{2 p^{2}}{8 p - 8}$

Step 1

Simplify terms.

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Step 1.1

Subtract $7 p$ from $7 p$ .

$\frac{0}{p} \cdot \frac{2 p^{2}}{8 p - 8}$

Step 1.2

Factor $8$ out of $8 p - 8$ .

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Step 1.2.1

Factor $8$ out of $8 p$ .

$\frac{0}{p} \cdot \frac{2 p^{2}}{8 (p) - 8}$

Step 1.2.2

Factor $8$ out of $- 8$ .

$\frac{0}{p} \cdot \frac{2 p^{2}}{8 (p) + 8 (- 1)}$

Step 1.2.3

Factor $8$ out of $8 (p) + 8 (- 1)$ .

$\frac{0}{p} \cdot \frac{2 p^{2}}{8 (p - 1)}$

$\frac{0}{p} \cdot \frac{2 p^{2}}{8 (p - 1)}$

Step 1.3

Combine.

$\frac{0 (2 p^{2})}{p (8 (p - 1))}$

Step 1.4

Cancel the common factor of $0$ and $8$ .

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Step 1.4.1

Factor $8$ out of $0 (2 p^{2})$ .

$\frac{8 (0 (2 p^{2}))}{p (8 (p - 1))}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $8$ out of $p (8 (p - 1))$ .

$\frac{8 (0 (2 p^{2}))}{8 (p (p - 1))}$

Step 1.4.2.2

Cancel the common factor.

$\frac{8 (0 (2 p^{2}))}{8 (p (p - 1))}$

Step 1.4.2.3

Rewrite the expression.

$\frac{0 (2 p^{2})}{p (p - 1)}$

$\frac{0 (2 p^{2})}{p (p - 1)}$

$\frac{0 (2 p^{2})}{p (p - 1)}$

Step 1.5

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

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Step 1.5.1

Factor $p$ out of $0 (2 p^{2})$ .

$\frac{p (0 (2 p))}{p (p - 1)}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Cancel the common factor.

$\frac{p (0 (2 p))}{p (p - 1)}$

Step 1.5.2.2

Rewrite the expression.

$\frac{0 (2 p)}{p - 1}$

$\frac{0 (2 p)}{p - 1}$

$\frac{0 (2 p)}{p - 1}$

$\frac{0 (2 p)}{p - 1}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $0$ by $2$ .

$\frac{0 p}{p - 1}$

Step 2.2

Multiply $0$ by $p$ .

$\frac{0}{p - 1}$

$\frac{0}{p - 1}$

Step 3

Divide $0$ by $p - 1$ .

$0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$