Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

Factor $- 1$ out of $- p$ .

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

Step 3.2

Rewrite $- (p)$ as $- 1 (p)$ .

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

Step 3.3

Apply the product rule to $- 1 (p)$ .

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

Step 3.4

Raise $- 1$ to the power of $2$ .

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

Step 3.5

Multiply $p^{2}$ by $1$ .

$\frac{p}{- 1 \cdot p^{2}}$

Step 3.6

Raise $p$ to the power of $1$ .

$\frac{p^{1}}{- 1 \cdot p^{2}}$

Step 3.7

Factor $p$ out of $p^{1}$ .

$\frac{p \cdot 1}{- 1 \cdot p^{2}}$

Step 3.8

Cancel the common factors.

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Step 3.8.1

Factor $p$ out of $- 1 \cdot p^{2}$ .

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

Step 3.8.2

Cancel the common factor.

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

Step 3.8.3

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $1$ and $- 1$ .

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Step 4.1

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 4.2

Move the negative in front of the fraction.

$- \frac{1}{p}$

$- \frac{1}{p}$

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