Basic Math Examples

$(7^{2} - 7) \div 7$

Step 1

Rewrite the division as a fraction.

$\frac{7^{2} - 7}{7}$

Step 2

Cancel the common factor of $7^{2} - 7$ and $7$ .

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Step 2.1

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

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

Step 2.2

Rewrite $- 7$ as $- 1 (7)$ .

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

Step 2.3

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

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

Step 2.4

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

$\frac{7 (- 1 (- 1 \cdot 7 + 1))}{7}$

Step 2.5

Cancel the common factors.

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Step 2.5.1

Factor $7$ out of $7$ .

$\frac{7 (- 1 (- 1 \cdot 7 + 1))}{7 (1)}$

Step 2.5.2

Cancel the common factor.

$\frac{7 (- 1 (- 1 \cdot 7 + 1))}{7 \cdot 1}$

Step 2.5.3

Rewrite the expression.

$\frac{- 1 (- 1 \cdot 7 + 1)}{1}$

Step 2.5.4

Divide $- 1 (- 1 \cdot 7 + 1)$ by $1$ .

$- 1 (- 1 \cdot 7 + 1)$

$- 1 (- 1 \cdot 7 + 1)$

$- 1 (- 1 \cdot 7 + 1)$

Step 3

Simplify the expression.

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Step 3.1

Rewrite $- 1 (- 1 \cdot 7 + 1)$ as $- (- 1 \cdot 7 + 1)$ .

$- (- 1 \cdot 7 + 1)$

Step 3.2

Multiply $- 1$ by $7$ .

$- (- 7 + 1)$

Step 3.3

Add $- 7$ and $1$ .

$- - 6$

Step 3.4

Multiply $- 1$ by $- 6$ .

$6$

$6$

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