Factor mr+ns-nr-ms - Math online

$m r + n s - n r - m s$

Regroup terms.

$- n r + m r + n s - m s$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(- n r + m r) + n s - m s$

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

$r (- n + m) - s (- n + m)$

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

$(- n + m) (r - s)$

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

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Reorder $- n$ and $m$ .

$(m - n) (r - s)$

Factor $- 1$ out of $m$ .

$(- 1 (- m) - n) (r - s)$

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

$(- 1 (- m) - (n)) (r - s)$

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

$- 1 (- m + n) (r - s)$

Rewrite $- 1 (- m + n)$ as $- (- m + n)$ .

$- (- m + n) (r - s)$

Factor.

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

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

$- (- (m) + n) (r - s)$

Factor $- 1$ out of $n$ .

$- (- (m) - 1 (- n)) (r - s)$

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

$- - (m - n) (r - s)$

Remove unnecessary parentheses.

$- - 1 (m - n) (r - s)$

Combine exponents.

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Factor out negative.

$- ((- (m - n)) (r - s))$

Multiply $- 1$ by $- 1$ .

$1 ((m - n) (r - s))$

Multiply $m - n$ by $1$ .

$(m - n) (r - s)$

Factor mr+ns-nr-ms

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