What is factor am+2bm-3cm+12cn-4an-8bn ?

The solution to factor am+2bm-3cm+12cn-4an-8bn is (m-4n)(a+2b-3c)

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factor am+2bm-3cm+12cn-4an-8bn

factor

am + 2 bm - 3 c m + 12 c n - 4 an - 8 bn

(m - 4 n) (a + 2 b - 3 c)

Solution steps

am + 2 bm - 3 c m + 12 c n - 4 an - 8 bn

Factor out common term

a

= a (m - 4 n) + 2 bm - 3 c m + 12 c n - 8 bn

Rewrite as

= a (m - 4 n) + 2 bm - 3 c m + 12 c n - 4 \cdot 2 bn

Factor out common term

2 b

= a (m - 4 n) + 2 b (m - 4 n) - 3 c m + 12 c n

Factor out common term

(m - 4 n)

= (m - 4 n) (a + 2 b) - 3 c m + 12 c n

Rewrite as

= (m - 4 n) (a + 2 b) - 3 c m + 4 \cdot 3 c n

Factor out common term

3 c

= (m - 4 n) (a + 2 b) + 3 c (- m + 4 n)

Rewrite as

= (m - 4 n) (a + 2 b) - 3 (m - 4 n) c

Factor out common term

(m - 4 n)

= (m - 4 n) (a + 2 b - 3 c)

4 (x - y)^{2} - 12 (x - y) + 9

8 m^{3} + 4 m^{2} - n^{3} - n^{2}

a x + 2 b x + 4 b y + 2 a y

\frac{1}{2} x^{2} - 1

5 ln (9 cos (6 x) + 9)

What is factor am+2bm-3cm+12cn-4an-8bn ?
The solution to factor am+2bm-3cm+12cn-4an-8bn is (m-4n)(a+2b-3c)