Basic Math Examples

$m - 2 (1 + m) + 3 (1 - m) - 4 (1 + 2 m)$

Step 1

Regroup terms.

$m - 2 (1 + m) + 3 (1 - m) - 4 (1 + 2 m)$

Step 2

Apply the distributive property.

$m - 2 \cdot 1 - 2 m + 3 (1 - m) - 4 (1 + 2 m)$

Step 3

Multiply $- 2$ by $1$ .

$m - 2 - 2 m + 3 (1 - m) - 4 (1 + 2 m)$

Step 4

Subtract $2 m$ from $m$ .

$- m - 2 + 3 (1 - m) - 4 (1 + 2 m)$

Step 5

Factor $- 1$ out of $- m - 2$ .

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Step 5.1

Factor $- 1$ out of $- m$ .

$- (m) - 2 + 3 (1 - m) - 4 (1 + 2 m)$

Step 5.2

Rewrite $- 2$ as $- 1 (2)$ .

$- (m) - 1 (2) + 3 (1 - m) - 4 (1 + 2 m)$

Step 5.3

Factor $- 1$ out of $- (m) - 1 (2)$ .

$- (m + 2) + 3 (1 - m) - 4 (1 + 2 m)$

$- (m + 2) + 3 (1 - m) - 4 (1 + 2 m)$

Step 6

Apply the distributive property.

$- (m + 2) + 3 \cdot 1 + 3 (- m) - 4 (1 + 2 m)$

Step 7

Multiply $3$ by $1$ .

$- (m + 2) + 3 + 3 (- m) - 4 (1 + 2 m)$

Step 8

Multiply $- 1$ by $3$ .

$- (m + 2) + 3 - 3 m - 4 (1 + 2 m)$

Step 9

Apply the distributive property.

$- (m + 2) + 3 - 3 m - 4 \cdot 1 - 4 (2 m)$

Step 10

Multiply $- 4$ by $1$ .

$- (m + 2) + 3 - 3 m - 4 - 4 (2 m)$

Step 11

Multiply $2$ by $- 4$ .

$- (m + 2) + 3 - 3 m - 4 - 8 m$

Step 12

Subtract $4$ from $3$ .

$- (m + 2) - 3 m - 1 - 8 m$

Step 13

Subtract $8 m$ from $- 3 m$ .

$- (m + 2) - 11 m - 1$

Step 14

Factor $- 1$ out of $- 11 m - 1$ .

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Step 14.1

Factor $- 1$ out of $- 11 m$ .

$- (m + 2) - (11 m) - 1$

Step 14.2

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

$- (m + 2) - (11 m) - 1 (1)$

Step 14.3

Factor $- 1$ out of $- (11 m) - 1 (1)$ .

$- (m + 2) - (11 m + 1)$

$- (m + 2) - (11 m + 1)$

Step 15

Factor $- 1$ out of $- (m + 2) - (11 m + 1)$ .

$- (m + 2 + 11 m + 1)$

Step 16

Add $m$ and $11 m$ .

$- (12 m + 2 + 1)$

Step 17

Add $2$ and $1$ .

$- (12 m + 3)$

Step 18

Factor.

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Step 18.1

Factor $3$ out of $12 m + 3$ .

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Step 18.1.1

Factor $3$ out of $12 m$ .

$- (3 (4 m) + 3)$

Step 18.1.2

Factor $3$ out of $3$ .

$- (3 (4 m) + 3 (1))$

Step 18.1.3

Factor $3$ out of $3 (4 m) + 3 (1)$ .

$- (3 (4 m + 1))$

$- (3 (4 m + 1))$

Step 18.2

Remove unnecessary parentheses.

$- 1 \cdot 3 (4 m + 1)$

$- 1 \cdot 3 (4 m + 1)$

Step 19

Multiply $- 1$ by $3$ .

$- 3 (4 m + 1)$

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