Basic Math Examples

a m - b m + a n - b n

$a m - b m + a n - b n$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

(a m - b m) + a n - b n

$(a m - b m) + a n - b n$

Step 1.2

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

m (a - b) + n (a - b)

$m (a - b) + n (a - b)$

m (a - b) + n (a - b)

$m (a - b) + n (a - b)$

Step 2

Factor the polynomial by factoring out the greatest common factor,

a - b

$a - b$ .

(a - b) (m + n)

$(a - b) (m + n)$