What is factor 6m-n-3mn+2 ?

The solution to factor 6m-n-3mn+2 is -(n-2)(3m+1)

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factor 6m-n-3mn+2

factor

6 m - n - 3 mn + 2

- (n - 2) (3 m + 1)

Solution steps

6 m - n - 3 mn + 2

Group by common factors

= - 3 mn + 6 m - n + 2

= (- 3 mn + 6 m) + (- n + 2)

Factor out

- 3 m

from

- 3 mn + 6 m : - 3 m (n - 2)

Factor out

- 1

from

- n + 2 : - (n - 2)

= - 3 m (n - 2) - (n - 2)

Factor out common term

(n - 2) : (n - 2) (- 3 m - 1)

= (n - 2) (- 3 m - 1)

Factor

- 3 m - 1 : - (3 m + 1)

= (n - 2) (- (3 m + 1))

Apply rule:

a (- b) = - ab

(n - 2) (- (3 m + 1)) = - (n - 2) (3 m + 1)

= - (n - 2) (3 m + 1)

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