What is factor+4am^3-12amn-m^2+3n ?

The solution to factor+4am^3-12amn-m^2+3n is (-1+4am)(m^2-3n)

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factor+4am^3-12amn-m^2+3n

factor

+ 4 a m^{3} - 12 amn - m^{2} + 3 n

(- 1 + 4 am) (m^{2} - 3 n)

Solution steps

4 a m^{3} - 12 amn - m^{2} + 3 n

Factor

4 a m^{3} - m^{2} : m^{2} (4 am - 1)

Factor

- 12 amn + 3 n : 3 n (- 4 am + 1)

= m^{2} (4 am - 1) + 3 n (- 4 am + 1)

Rewrite as

= (- 1 + 4 am) m^{2} - 3 (- 1 + 4 am) n

Factor out common term

(- 1 + 4 am)

= (- 1 + 4 am) (m^{2} - 3 n)

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What is factor+4am^3-12amn-m^2+3n ?
The solution to factor+4am^3-12amn-m^2+3n is (-1+4am)(m^2-3n)