Basic Math Examples

$\frac{5^{2} - 5}{5}$

Step 1

Cancel the common factor of $5^{2} - 5$ and $5$ .

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Step 1.1

Factor $- 1$ out of $5^{2}$ .

$\frac{- 1 (- 5^{2}) - 5}{5}$

Step 1.2

Rewrite $- 5$ as $- 1 (5)$ .

$\frac{- 1 (- 5^{2}) - 1 (5)}{5}$

Step 1.3

Factor $- 1$ out of $- 1 (- 5^{2}) - 1 (5)$ .

$\frac{- 1 (- 5^{2} + 5)}{5}$

Step 1.4

Factor $5$ out of $- 1 (- 5^{2} + 5)$ .

$\frac{5 (- 1 (- 1 \cdot 5 + 1))}{5}$

Step 1.5

Cancel the common factors.

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Step 1.5.1

Factor $5$ out of $5$ .

$\frac{5 (- 1 (- 1 \cdot 5 + 1))}{5 (1)}$

Step 1.5.2

Cancel the common factor.

$\frac{5 (- 1 (- 1 \cdot 5 + 1))}{5 \cdot 1}$

Step 1.5.3

Rewrite the expression.

$\frac{- 1 (- 1 \cdot 5 + 1)}{1}$

Step 1.5.4

Divide $- 1 (- 1 \cdot 5 + 1)$ by $1$ .

$- 1 (- 1 \cdot 5 + 1)$

$- 1 (- 1 \cdot 5 + 1)$

$- 1 (- 1 \cdot 5 + 1)$

Step 2

Simplify the expression.

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Step 2.1

Rewrite $- 1 (- 1 \cdot 5 + 1)$ as $- (- 1 \cdot 5 + 1)$ .

$- (- 1 \cdot 5 + 1)$

Step 2.2

Multiply $- 1$ by $5$ .

$- (- 5 + 1)$

Step 2.3

Add $- 5$ and $1$ .

$- - 4$

Step 2.4

Multiply $- 1$ by $- 4$ .

$4$

$4$

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