Precalculus Examples

$2 m n - 2 m t + 2 s n - 2 s t$

Step 1

Factor $2$ out of $2 m n - 2 m t + 2 s n - 2 s t$ .

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Step 1.1

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

$2 (m n) - 2 m t + 2 s n - 2 s t$

Step 1.2

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

$2 (m n) + 2 (- m t) + 2 s n - 2 s t$

Step 1.3

Factor $2$ out of $2 s n$ .

$2 (m n) + 2 (- m t) + 2 (s n) - 2 s t$

Step 1.4

Factor $2$ out of $- 2 s t$ .

$2 (m n) + 2 (- m t) + 2 (s n) + 2 (- s t)$

Step 1.5

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

$2 (m n - m t) + 2 (s n) + 2 (- s t)$

Step 1.6

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

$2 (m n - m t + s n) + 2 (- s t)$

Step 1.7

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

$2 (m n - m t + s n - s t)$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$2 ((m n - m t) + s n - s t)$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$2 (m (n - 1 t) + s (n - 1 t))$

Step 3

Factor the polynomial by factoring out the greatest common factor, $n - 1 t$ .

$2 ((n - 1 t) (m + s))$

Step 4

Factor.

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Step 4.1

Rewrite $- 1 t$ as $- t$ .

$2 ((n - t) (m + s))$

Step 4.2

Remove unnecessary parentheses.

$2 (n - t) (m + s)$