Basic Math Examples

\frac{- 10 - (25 - 15)}{- 5}

$\frac{- 10 - (25 - 15)}{- 5}$

Step 1

Cancel the common factor of

- 10 - (25 - 15)

$- 10 - (25 - 15)$ and

- 5

$- 5$ .

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Step 1.1

Rewrite

- 10

$- 10$ as

- 1 (10)

$- 1 (10)$ .

\frac{- 1 (10) - (25 - 15)}{- 5}

$\frac{- 1 (10) - (25 - 15)}{- 5}$

Step 1.2

Factor

- 1

$- 1$ out of

- 1 (10) - (25 - 15)

$- 1 (10) - (25 - 15)$ .

\frac{- 1 (10 + 25 - 15)}{- 5}

$\frac{- 1 (10 + 25 - 15)}{- 5}$

Step 1.3

Factor

5

$5$ out of

- 1 (10 + 25 - 15)

$- 1 (10 + 25 - 15)$ .

\frac{5 (- 1 (2 + 5 - 3))}{- 5}

$\frac{5 (- 1 (2 + 5 - 3))}{- 5}$

Step 1.4

Move the negative one from the denominator of

\frac{- 1 (2 + 5 - 3)}{- 1}

$\frac{- 1 (2 + 5 - 3)}{- 1}$ .

- 1 \cdot (- 1 (2 + 5 - 3))

$- 1 \cdot (- 1 (2 + 5 - 3))$

- 1 \cdot (- 1 (2 + 5 - 3))

$- 1 \cdot (- 1 (2 + 5 - 3))$

Step 2

Simplify the expression.

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Step 2.1

Rewrite

- 1 \cdot (- 1 (2 + 5 - 3))

$- 1 \cdot (- 1 (2 + 5 - 3))$ as

- (- 1 (2 + 5 - 3))

$- (- 1 (2 + 5 - 3))$ .

- (- 1 (2 + 5 - 3))

$- (- 1 (2 + 5 - 3))$

Step 2.2

Add

2

$2$ and

5

$5$ .

- (- 1 (7 - 3))

$- (- 1 (7 - 3))$

Step 2.3

Subtract

3

$3$ from

7

$7$ .

- (- 1 \cdot 4)

$- (- 1 \cdot 4)$

- (- 1 \cdot 4)

$- (- 1 \cdot 4)$

Step 3

Multiply

- (- 1 \cdot 4)

$- (- 1 \cdot 4)$ .

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Step 3.1

Multiply

- 1

$- 1$ by

4

$4$ .

- - 4

$- - 4$

Step 3.2

Multiply

- 1

$- 1$ by

- 4

$- 4$ .

4

$4$

4

$4$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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