Basic Math Examples

$12 m n - (5 m n - 2 m + (2 m n - 5 m n))$

Step 1

Remove parentheses.

$12 m n - (5 m n - 2 m + 2 m n - 5 m n)$

Step 2

Combine the opposite terms in $5 m n - 2 m + 2 m n - 5 m n$ .

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Step 2.1

Subtract $5 m n$ from $5 m n$ .

$12 m n - (- 2 m + 2 m n + 0)$

Step 2.2

Add $- 2 m + 2 m n$ and $0$ .

$12 m n - (- 2 m + 2 m n)$

$12 m n - (- 2 m + 2 m n)$

Step 3

Apply the distributive property.

$12 m n - (- 2 m) - (2 m n)$

Step 4

Multiply $- 2$ by $- 1$ .

$12 m n + 2 m - (2 m n)$

Step 5

Multiply $2$ by $- 1$ .

$12 m n + 2 m - 2 (m n)$

Step 6

Remove parentheses.

$12 m n + 2 m - 2 m n$

Step 7

Subtract $2 m n$ from $12 m n$ .

$10 m n + 2 m$

Step 8

Factor $2 m$ out of $10 m n + 2 m$ .

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Step 8.1

Factor $2 m$ out of $10 m n$ .

$2 m (5 n) + 2 m$

Step 8.2

Factor $2 m$ out of $2 m$ .

$2 m (5 n) + 2 m (1)$

Step 8.3

Factor $2 m$ out of $2 m (5 n) + 2 m (1)$ .

$2 m (5 n + 1)$

$2 m (5 n + 1)$

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