Finite Math Examples

$p (4 m - n) - 2 p (m + 2 n)$

Step 1

Factor $p$ out of $p (4 m - n) - 2 p (m + 2 n)$ .

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Step 1.1

Factor $p$ out of $- 2 p (m + 2 n)$ .

$p (4 m - n) + p (- 2 (m + 2 n))$

Step 1.2

Factor $p$ out of $p (4 m - n) + p (- 2 (m + 2 n))$ .

$p (4 m - n - 2 (m + 2 n))$

Step 2

Apply the distributive property.

$p (4 m - n - 2 m - 2 (2 n))$

Step 3

Multiply $2$ by $- 2$ .

$p (4 m - n - 2 m - 4 n)$

Step 4

Subtract $2 m$ from $4 m$ .

$p (2 m - n - 4 n)$

Step 5

Subtract $4 n$ from $- n$ .

$p (2 m - 5 n)$