Algebra Examples

$m n - m k + x k - x n$

Step 1

Regroup terms.

$- m k + m n + x k - x n$

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.

$(- m k + m n) + x k - x n$

Step 2.2

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

$m (- 1 k + n) - x (- 1 k + n)$

Step 3

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

$(- 1 k + n) (m - x)$

Step 4

Rewrite $- 1 k$ as $- k$ .

$(- k + n) (m - x)$

Step 5

Factor $- 1$ out of $- k + n$ .

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Step 5.1

Factor $- 1$ out of $- k$ .

$(- (k) + n) (m - x)$

Step 5.2

Factor $- 1$ out of $n$ .

$(- (k) - 1 (- n)) (m - x)$

Step 5.3

Factor $- 1$ out of $- (k) - 1 (- n)$ .

$- (k - n) (m - x)$